Soluciòn de sistemas simultàneos de ecuaciones
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Este espacio se ha posibilitado con el ánimo de tomar los registros que la matemática identifica, desde una proyección de utilidad, sacrificando en gran proporción la rigurosidad de la demostración
35 comentarios:
G=[1 2 1;3 2 1;4 5 6]
LHGYHGGJHGKJ
N= 1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
N= 1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
>> D=[-2 7 -8 -3 7 1 27 -2 1 -5 275;3 -12 10 1 8 -2 4 -21 -7 10 -118;7 -4 -12 -20 -5 20 5 -7 14 -15 -117;-20 8 -9 8 -7 -3 1 -9 -2 22 181;-12 9 -7 -2 9 8 4 -1 10 -20 -38;5 -13 1 7 -6 -4 2 -12 -3 6 -169;1 -10 4 -6 -10 7 12 -20 11 -4 -97;4 -11 2 5 12 -5 2 -14 -22 32 119;-11 6 -3 -9 4 3 21 -27 12 -54 -956;19 -3 -6 20 -11 -6 7 -30 -13 25 -150];
>> RREF(D)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
D=[1 -9 1 -10 2 -1 15 -10 -3 5 102;2 -8 2 9 -4 -3 6 5 -10 -14 -206;3 -6 3 -8 6 -5 8 3 2 13 256;-10 -7 4 7 -8 7 -24 -2 1 -20 -286;-5 -4 5 -6 10 9 -36 -1 -50 21 -360;-4 -5 6 5 -12 11 -12 13 -12 3 -4;-7 -10 7 -4 14 -13 17 14 4 -7 242;6 -3 8 3 -16 -15 42 -10 5 11 194;8 -2 9 -2 18 -17 33 -15 -3 -1 -80;9 -1 10 1 -20 19 -29 5 -4 1 -234]
D=
1 -9 1 -10 2 -1 15 -10 -3 5 102
2 -8 2 9 -4 -3 6 5 -10 -14 -206
3 -6 3 -8 6 -5 8 3 2 13 256
-10 -7 4 7 -8 7 -24 -2 1 -20 -286
-5 -4 5 -6 10 9 -36 -1 -50 21 -360
-4 -5 6 5 -12 11 -12 13 -12 3 -4
-7 -10 7 -4 14 -13 17 14 4 -7 242
6 -3 8 3 -16 -15 42 -10 5 11 194
8 -2 9 -2 18 -17 33 -15 -3 -1 -80
9 -1 10 1 -20 19 -29 5 -4 1 -234
>> RREF(D)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
JA=[5,3,1,-1,15,-1,5,10,-5,10,456;12,-4,3,3,-11,-2,3,2,-3,5,28;-3,5,4,-7,2,-4,2,-3,2,3,29;-2,-1,-2,8,1,-10,10,-5,1,-2,-26;10,-2,-10,-10,-9,-13,20,1,-7,-1,-203;20,13,-20,13,-7,-20,11,2,-8,-2,-234;1,20,15,-11,-3,-3,13,-5,9,5,341;8,-17,-13,9,1,-1,1,-20,10,6,-50;-1,-8,21,-3,5,-5,5,15,-11,8,304;6,4,-3,4,9,-6,3,4,-12,-11,-268]
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
JA=[1,10,-1,10,-2,1,-10,3,-1,-5,-190;2,9,-2,-9,4,3,-5,5,-5,-3,-100;-3,8,-3,8,-6,5,-3,-9,3,-1,-92;4,7,-4,-7,8,-7,2,-5,2,-1,-76;5,6,-5,6,-10,-9,1,1,-9,-2,-224;6,5,-10,-1,12,-11,13,2,-13,10,28;-7,4,-9,2,-14,13,-14,-3,4,7,104;8,3,-8,-3,16,15,-7,-9,10,6,106;9,2,-7,4,-18,17,-5,13,-1,9,140;-10,1,-6,-5,20,-19,3,4,-21,11,44]
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
A=[1 -3 -5 7 9 -11 13 15 -17 19 442;-2 5 -3 6 -4 7 -5 8 -6 9 205;3 6 -9 -12 15 -18 -21 24 -27 30 27;-4 -6 8 10 -12 14 16 -18 20 22 830;5 6 8 11 -15 -20 -26 33 41 50 1589;6 -9 -12 -16 -21 -26 32 38 45 52 2071;-7 6 5 4 3 -2 -1 -8 -9 10 -27;8 1 -9 2 -10 3 -11 4 -12 5 -269;-9 8 7 6 5 4 3 2 1 -1 248;-10 -12 8 -14 6 -16 -4 18 -2 -20 -422];
>> rref(A)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
B=[22 20 -18 16 -14 -12 10 -8 6 -4 -324;-50 41 33 31 -22 15 -33 51 -42 28 102;7 -9 15 -23 -28 8 10 16 24 -29 40;-1 19 10 2 18 9 -3 -20 8 4 -128;52 -45 -38 32 -26 21 -16 12 9 -6 -8;5 12 4 -11 3 10 -2 -9 -1 8 -58;-9 -6 8 -5 -7 -4 6 -3 12 2 212;-8 6 -4 2 -2 4 -6 8 -10 12 124;12 -21 -31 13 14 -41 11 -1 23 -32 -104;-18 15 13 6 9 -12 -4 5 7 11 178];
>> rref(B)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
Profesor se lo envio nuevamente porque en el anterior no aparecia mi nombre sino mi correo (prinxrock@hotmail.com)
A=[1 -3 -5 7 9 -11 13 15 -17 19 442;-2 5 -3 6 -4 7 -5 8 -6 9 205;3 6 -9 -12 15 -18 -21 24 -27 30 27;-4 -6 8 10 -12 14 16 -18 20 22 830;5 6 8 11 -15 -20 -26 33 41 50 1589;6 -9 -12 -16 -21 -26 32 38 45 52 2071;-7 6 5 4 3 -2 -1 -8 -9 10 -27;8 1 -9 2 -10 3 -11 4 -12 5 -269;-9 8 7 6 5 4 3 2 1 -1 248;-10 -12 8 -14 6 -16 -4 18 -2 -20 -422];
>> rref(A)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
B=[22 20 -18 16 -14 -12 10 -8 6 -4 -324;-50 41 33 31 -22 15 -33 51 -42 28 102;7 -9 15 -23 -28 8 10 16 24 -29 40;-1 19 10 2 18 9 -3 -20 8 4 -128;52 -45 -38 32 -26 21 -16 12 9 -6 -8;5 12 4 -11 3 10 -2 -9 -1 8 -58;-9 -6 8 -5 -7 -4 6 -3 12 2 212;-8 6 -4 2 -2 4 -6 8 -10 12 124;12 -21 -31 13 14 -41 11 -1 23 -32 -104;-18 15 13 6 9 -12 -4 5 7 11 178];
>> rref(B)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
profe ya que solo le mande la matriz solucionada aca le mando las ecuaciones: N1 es el sistema simultaneo de ecuaciones con las variables de numeros impares y N2 es el de numeros enteros.
N1=N=[1 2 7 -4 3 -10 -1 8 6 -5 45;4 -5 10 6 -3 12 2 -9 1 -6 -20;9 2 5 -4 -15 1 9 -8 -3 8 -14;12 8 16 -5 10 2 -7 -1 5 9 343;-10 -5 17 11 -9 19 13 -12 1 -10 81;13 4 -11 -2 7 8 -14 -3 7 1 18;-8 3 9 -10 -11 15 -8 9 4 -5 46;5 1 1 9 -16 -6 11 -10 -2 -1 -194;-9 8 5 -10 12 7 11 -9 1 -5 85;11 4 2 -3 -5 13 -12 10 -12 3 -43]
N =
1 2 7 -4 3 -10 -1 8 6 -5 45
4 -5 10 6 -3 12 2 -9 1 -6 -20
9 2 5 -4 -15 1 9 -8 -3 8 -14
12 8 16 -5 10 2 -7 -1 5 9 343
-10 -5 17 11 -9 19 13 -12 1 -10 81
13 4 -11 -2 7 8 -14 -3 7 1 18
-8 3 9 -10 -11 15 -8 9 4 -5 46
5 1 1 9 -16 -6 11 -10 -2 -1 -194
-9 8 5 -10 12 7 11 -9 1 -5 85
11 4 2 -3 -5 13 -12 10 -12 3 -43
N2=N=[-11 2 9 5 6 -7 -8 10 -4 3 42;4 7 -2 7 13 -9 -6 2 1 -1 -112;-3 8 1 10 -15 -8 5 -6 -7 2 -174;-8 10 5 1 -12 7 3 -11 -3 7 -30;10 -2 12 -7 -11 4 12 -14 2 1 -116;6 16 -13 15 -9 3 -8 18 17 5 198;19 -11 13 9 -5 2 10 -14 7 15 40;-2 5 7 -3 2 -8 12 -9 5 -6 -86;1 1 1 3 -5 10 -1 -1 11 -16 -90;-4 8 -5 2 -1 9 7 2 -12 8 68]
N =
-11 2 9 5 6 -7 -8 10 -4 3 42
4 7 -2 7 13 -9 -6 2 1 -1 -112
-3 8 1 10 -15 -8 5 -6 -7 2 -174
-8 10 5 1 -12 7 3 -11 -3 7 -30
10 -2 12 -7 -11 4 12 -14 2 1 -116
6 16 -13 15 -9 3 -8 18 17 5 198
19 -11 13 9 -5 2 10 -14 7 15 40
-2 5 7 -3 2 -8 12 -9 5 -6 -86
1 1 1 3 -5 10 -1 -1 11 -16 -90
-4 8 -5 2 -1 9 7 2 -12 8 68
>> E=[2 3 2 -5 8 -10 1 -6 -2 5 -68;6 -3 -1 4 -5 -1 3 5 3 -7 -4;1 1 1 1 1 1 1 1 1 1 100;3 -4 5 -3 1 -6 1 -3 10 5 171;1 -1 1 -1 1 -1 1 -1 1 -1 -10;8 6 4 2 1 -2 -4 -6 -8 -10 -421;-5 -50 10 -19 8 -4 6 -15 12 8 -1;3 2 10 1 4 -3 4 -9 12 -10 0;2 2 2 2 2 2 2 -2 -2 -2 -4;2 3 4 5 6 7 8 9 10 11 815]
E =
2 3 2 -5 8 -10 1 -6 -2 5 -68
6 -3 -1 4 -5 -1 3 5 3 -7 -4
1 1 1 1 1 1 1 1 1 1 100
3 -4 5 -3 1 -6 1 -3 10 5 171
1 -1 1 -1 1 -1 1 -1 1 -1 -10
8 6 4 2 1 -2 -4 -6 -8 -10 -421
-5 -50 10 -19 8 -4 6 -15 12 8 -1
3 2 10 1 4 -3 4 -9 12 -10 0
2 2 2 2 2 2 2 -2 -2 -2 -4
2 3 4 5 6 7 8 9 10 11 815
>> rref(E)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
>> E=[2 3 4 5 6 7 8 9 10 11 332;1 1 1 1 1 1 1 1 1 1 22;-1 6 7 -8 3 2 4 -3 4 -1 2;-2 -2 2 2 2 2 2 2 2 2 100;6 3 -10 9 -9 3 -2 3 -7 4 -60;2 1 3 11 7 1 2 -6 5 2 0;6 -7 -10 6 3 6 -1 -9 -2 1 -34;-29 10 9 8 7 -6 -5 -4 -3 -2 -6;3 -3 3 3 3 -3 3 -3 -3 3 -30;5 -3 -4 -6 7 9 1 -8 -9 10 28]
E =
2 3 4 5 6 7 8 9 10 11 332
1 1 1 1 1 1 1 1 1 1 22
-1 6 7 -8 3 2 4 -3 4 -1 2
-2 -2 2 2 2 2 2 2 2 2 100
6 3 -10 9 -9 3 -2 3 -7 4 -60
2 1 3 11 7 1 2 -6 5 2 0
6 -7 -10 6 3 6 -1 -9 -2 1 -34
-29 10 9 8 7 -6 -5 -4 -3 -2 -6
3 -3 3 3 3 -3 3 -3 -3 3 -30
5 -3 -4 -6 7 9 1 -8 -9 10 28
>> rref(E)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
>> E=[2 3 2 -5 8 -10 1 -6 -2 5 -68;6 -3 -1 4 -5 -1 3 5 3 -7 -4;1 1 1 1 1 1 1 1 1 1 100;3 -4 5 -3 1 -6 1 -3 10 5 171;1 -1 1 -1 1 -1 1 -1 1 -1 -10;8 6 4 2 1 -2 -4 -6 -8 -10 -421;-5 -50 10 -19 8 -4 6 -15 12 8 -1;3 2 10 1 4 -3 4 -9 12 -10 0;2 2 2 2 2 2 2 -2 -2 -2 -4;2 3 4 5 6 7 8 9 10 11 815]
E =
2 3 2 -5 8 -10 1 -6 -2 5 -68
6 -3 -1 4 -5 -1 3 5 3 -7 -4
1 1 1 1 1 1 1 1 1 1 100
3 -4 5 -3 1 -6 1 -3 10 5 171
1 -1 1 -1 1 -1 1 -1 1 -1 -10
8 6 4 2 1 -2 -4 -6 -8 -10 -421
-5 -50 10 -19 8 -4 6 -15 12 8 -1
3 2 10 1 4 -3 4 -9 12 -10 0
2 2 2 2 2 2 2 -2 -2 -2 -4
2 3 4 5 6 7 8 9 10 11 815
>> rref(E)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
>> E=[2 3 4 5 6 7 8 9 10 11 332;1 1 1 1 1 1 1 1 1 1 22;-1 6 7 -8 3 2 4 -3 4 -1 2;-2 -2 2 2 2 2 2 2 2 2 100;6 3 -10 9 -9 3 -2 3 -7 4 -60;2 1 3 11 7 1 2 -6 5 2 0;6 -7 -10 6 3 6 -1 -9 -2 1 -34;-29 10 9 8 7 -6 -5 -4 -3 -2 -6;3 -3 3 3 3 -3 3 -3 -3 3 -30;5 -3 -4 -6 7 9 1 -8 -9 10 28]
E =
2 3 4 5 6 7 8 9 10 11 332
1 1 1 1 1 1 1 1 1 1 22
-1 6 7 -8 3 2 4 -3 4 -1 2
-2 -2 2 2 2 2 2 2 2 2 100
6 3 -10 9 -9 3 -2 3 -7 4 -60
2 1 3 11 7 1 2 -6 5 2 0
6 -7 -10 6 3 6 -1 -9 -2 1 -34
-29 10 9 8 7 -6 -5 -4 -3 -2 -6
3 -3 3 3 3 -3 3 -3 -3 3 -30
5 -3 -4 -6 7 9 1 -8 -9 10 28
>> rref(E)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
A=[1 -2 -11 10 1 -5 -8 2 10 6 174;2 3 -1 8 5 -8 -7 1 -2 -1 -110;10 -1 4 3 7 -12 53 -2 1 -3 598;-44 30 -2 -1 -6 1 -5 3 -2 4 8;1 15 -9 -8 -7 5 11 4 -17 -10 -339;35 12 -10 24 -2 3 -1 1 -12 3 59;-5 -4 2 7 -13 -10 8 9 -3 -5 -92;2 4 6 -8 -10 -12 14 16 18 -2 456;30 27 -24 21 -18 -15 12 9 -6 3 57;-12 30 10 -9 -1 24 -13 -8 5 -7 -17]
A =
1 -2 -11 10 1 -5 -8 2 10 6 174
2 3 -1 8 5 -8 -7 1 -2 -1 -110
10 -1 4 3 7 -12 53 -2 1 -3 598
-44 30 -2 -1 -6 1 -5 3 -2 4 8
1 15 -9 -8 -7 5 11 4 -17 -10 -339
35 12 -10 24 -2 3 -1 1 -12 3 59
-5 -4 2 7 -13 -10 8 9 -3 -5 -92
2 4 6 -8 -10 -12 14 16 18 -2 456
30 27 -24 21 -18 -15 12 9 -6 3 57
-12 30 10 -9 -1 24 -13 -8 5 -7 -17
>> rref(A)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
B=[-6 2 1 -5 -7 9 -2 -3 6 10 208;8 6 -2 4 -3 1 4 -2 -8 -3 -210;3 -9 6 8 -12 -5 7 4 -2 1 12;18 7 -4 -3 8 12 -3 -8 1 -1 -184;2 5 9 1 15 -3 5 11 -3 -2 -2;-7 -6 10 2 -10 30 9 5 -7 8 268;13 -10 7 -18 11 -12 7 12 9 -5 106;10 -3 -15 4 5 7 -8 -3 -4 6 -12;-1 11 -3 6 -9 12 -6 10 -1 2 30;5 -4 -2 12 24 -37 -16 43 13 -10 126]
B =
-6 2 1 -5 -7 9 -2 -3 6 10 208
8 6 -2 4 -3 1 4 -2 -8 -3 -210
3 -9 6 8 -12 -5 7 4 -2 1 12
18 7 -4 -3 8 12 -3 -8 1 -1 -184
2 5 9 1 15 -3 5 11 -3 -2 -2
-7 -6 10 2 -10 30 9 5 -7 8 268
13 -10 7 -18 11 -12 7 12 9 -5 106
10 -3 -15 4 5 7 -8 -3 -4 6 -12
-1 11 -3 6 -9 12 -6 10 -1 2 30
5 -4 -2 12 24 -37 -16 43 13 -10 126
>> rref(B)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
This is a Classroom License for instructional use only.
Research and commercial use is prohibited.
>> A=[4,2,1,1,3,5,-2,-1,-1,-1,27;10,5,-3,4,7,-2,-3,-1,1,1,61;30,-4,2,-5,6,-4,4,-3,-2,1,-5;-7,3,3,-2,4,1,-2,5,3,-5,55;-10,-5,4,-3,3,-5,3,-5,2,3,1;8,4,3,5,7,-6,2,-1,3,-5,34;-5,-6,-2,-4,5,2,3,-2,1,-3,-25;6,-7,6,4,3,-5,2,-1,2,-4,-16;1,1,1,1,7,-1,-1,-2,-3,2,12;5,3,5,3,-5,-3,4,5,-4,-3,-16]
A =
4 2 1 1 3 5 -2 -1 -1 -1 27
10 5 -3 4 7 -2 -3 -1 1 1 61
30 -4 2 -5 6 -4 4 -3 -2 1 -5
-7 3 3 -2 4 1 -2 5 3 -5 55
-10 -5 4 -3 3 -5 3 -5 2 3 1
8 4 3 5 7 -6 2 -1 3 -5 34
-5 -6 -2 -4 5 2 3 -2 1 -3 -25
6 -7 6 4 3 -5 2 -1 2 -4 -16
1 1 1 1 7 -1 -1 -2 -3 2 12
5 3 5 3 -5 -3 4 5 -4 -3 -16
>> rrefmovie(A)
??? Undefined function or method 'rrefmovie' for input arguments of type
'double'.
>> rref(A)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
>> B=[2,-1,3,-5,6,1,3,1,1,-2,16;-2,1,-2,3,-5,2,-2,3,2,2,66;1,2,-3,-4,4,3,-1,-2,3,1,40;-3,-3,1,-2,-7,-4,2,-1,4,-1,44;-1,3,-2,-7,5,-2,4,-4,2,3,62;4,2,-4,6,3,-5,6,-5,6,-7,-82;-5,3,-6,7,-5,7,2,-3,-4,8,94;3,-5,4,-4,-7,3,-2,4,3,6,118;-4,4,-4,4,-4,3,3,3,-1,-1,40;5,5,-6,6,4,4,2,-2,1,1,-16]
B =
2 -1 3 -5 6 1 3 1 1 -2 16
-2 1 -2 3 -5 2 -2 3 2 2 66
1 2 -3 -4 4 3 -1 -2 3 1 40
-3 -3 1 -2 -7 -4 2 -1 4 -1 44
-1 3 -2 -7 5 -2 4 -4 2 3 62
4 2 -4 6 3 -5 6 -5 6 -7 -82
-5 3 -6 7 -5 7 2 -3 -4 8 94
3 -5 4 -4 -7 3 -2 4 3 6 118
-4 4 -4 4 -4 3 3 3 -1 -1 40
5 5 -6 6 4 4 2 -2 1 1 -16
>> rref(B)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
A=[3 2 -5 7 -9 -2 5 -1 2 -1 -5;8 5 -3 4 -9 -1 6 3 -2 2 71;4 6 -2 -1 3 -3 4 -5 -7 4 -67;7 3 6 -8 -2 4 -7 -4 3 5 11;1 -4 -7 6 8 5 2 6 -9 -3 29;2 -1 -1 2 7 8 -3 -2 4 -6 44;5 -7 4 -3 1 -6 -1 7 -8 4 -42;6 8 9 5 -4 -7 -8 -10 1 9 -69;10 7 -5 8 -9 10 -3 9 -2 -10 -37;9 -10 7 -6 -8 6 5 1 -10 3 -67]
A =
3 2 -5 7 -9 -2 5 -1 2 -1 -5
8 5 -3 4 -9 -1 6 3 -2 2 71
4 6 -2 -1 3 -3 4 -5 -7 4 -67
7 3 6 -8 -2 4 -7 -4 3 5 11
1 -4 -7 6 8 5 2 6 -9 -3 29
2 -1 -1 2 7 8 -3 -2 4 -6 44
5 -7 4 -3 1 -6 -1 7 -8 4 -42
6 8 9 5 -4 -7 -8 -10 1 9 -69
10 7 -5 8 -9 10 -3 9 -2 -10 -37
9 -10 7 -6 -8 6 5 1 -10 3 -67
>> rref(A)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
>> B=[10 -1 9 -2 -3 1 4 -3 8 10 92;2 5 -7 4 -6 8 -3 9 -2 -9 -80;5 -3 6 9 -5 -7 1 -2 7 3 -6;9 -4 10 -5 4 6 5 -1 -9 -2 -138;6 7 -8 -3 1 -9 -2 10 6 6 114;-8 2 -1 2 -8 5 -6 4 -5 7 86;1 -6 2 -6 10 -2 8 -5 1 -3 26;-3 -10 8 -7 -6 4 -3 2 -6 9 116;7 -6 -4 9 -10 -3 2 -5 7 -6 -84;-4 5 -3 8 -2 10 -6 7 -4 2 38]
B =
10 -1 9 -2 -3 1 4 -3 8 10 92
2 5 -7 4 -6 8 -3 9 -2 -9 -80
5 -3 6 9 -5 -7 1 -2 7 3 -6
9 -4 10 -5 4 6 5 -1 -9 -2 -138
6 7 -8 -3 1 -9 -2 10 6 6 114
-8 2 -1 2 -8 5 -6 4 -5 7 86
1 -6 2 -6 10 -2 8 -5 1 -3 26
-3 -10 8 -7 -6 4 -3 2 -6 9 116
7 -6 -4 9 -10 -3 2 -5 7 -6 -84
-4 5 -3 8 -2 10 -6 7 -4 2 38
>> rref(B)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
>> C= [2 -4 3 1 -1 -4 2 4 3 -1 77;3 1 -2 19 -2 -2 19 1 1 -9 197;19 -3 -1 -1 -1 16 13 -5 -1 2 280;2 2 -10 2 -3 5 9 -1 1 -1 100;3 -1 1 1 -1 1 4 6 -6 4 130;52 30 -1 -1 4 -2 1 1 -2 -3 81;60 -1 3 -4 9 1 -3 1 -1 2 133;72 19 -2 -2 4 -1 -1 -1 2 3 193;80 -1 45 -8 10 -2 3 -4 5 1 397;100 1 1 11 -12 -30 2 1 20 1 147]
C =
2 -4 3 1 -1 -4 2 4 3 -1 77
3 1 -2 19 -2 -2 19 1 1 -9 197
19 -3 -1 -1 -1 16 13 -5 -1 2 280
2 2 -10 2 -3 5 9 -1 1 -1 100
3 -1 1 1 -1 1 4 6 -6 4 130
52 30 -1 -1 4 -2 1 1 -2 -3 81
60 -1 3 -4 9 1 -3 1 -1 2 133
72 19 -2 -2 4 -1 -1 -1 2 3 193
80 -1 45 -8 10 -2 3 -4 5 1 397
100 1 1 11 -12 -30 2 1 20 1 147
>> rref(C)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
C= [-4 -5 8 -1 4 -2 3 1 1 1 80;2 2 -3 -4 1 1 -30 -15 30 1 10;-3 3 -2 -3 2 -4 -2 4 -1 -1 6;-5 -1 -1 -1 2 -5 -3 1 -2 1 18;3 1 1 1 2 5 3 1 2 1 46;-7 3 -4 1 -5 9 4 -1 -1 4 132;-1 -1 1 -8 4 -2 1 1 1 -1 38;-1 1 -4 -4 16 -3 -10 2 -2 4 30;2 3 10 40 -1 -1 -1 -1 31 -1 124;-5 -1 15 -30 -16 -32 11 16 1 1 102]
C =
-4 -5 8 -1 4 -2 3 1 1 1 80
2 2 -3 -4 1 1 -30 -15 30 1 10
-3 3 -2 -3 2 -4 -2 4 -1 -1 6
-5 -1 -1 -1 2 -5 -3 1 -2 1 18
3 1 1 1 2 5 3 1 2 1 46
-7 3 -4 1 -5 9 4 -1 -1 4 132
-1 -1 1 -8 4 -2 1 1 1 -1 38
-1 1 -4 -4 16 -3 -10 2 -2 4 30
2 3 10 40 -1 -1 -1 -1 31 -1 124
-5 -1 15 -30 -16 -32 11 16 1 1 102
>> rref (C)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
>> J=[-2 5 -1 6 4 -8 1 9 -7 1 46;1 -4 5 -7 8 9 -2 4 3 -2 183;5 3 2 -4 5 -8 -1 6 -5 -4 -131;-1 -2 -3 6 7 -9 5 -7 8 2 118;5 1 -2 4 -5 4 -3 -2 2 5 85;4 -1 6 -11 4 -7 -5 3 -4 1 -156;9 -7 7 2 -7 3 9 2 -2 5 215;-8 -3 -5 9 8 -5 2 4 -5 -3 -18;1 9 -8 4 -2 -3 4 -9 5 1 -14;7 -6 5 -2 7 6 -9 -6 -3 3 -72];
>>RREF(J)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
J=[-1 1 2 -3 -5 4 -7 8 2 -1 36;1 -3 7 5 -4 2 -2 -3 9 4 74;2 3 -2 1 -2 5 -9 -5 2 1 -74;4 -2 -5 2 3 -6 1 -4 1 -2 -62;-9 -4 6 -8 7 -1 -1 2 -1 3 134;-2 5 -8 1 -8 7 -5 7 4 5 154;3 -2 4 -2 5 -4 8 3 -4 8 98;-4 -5 7 4 9 -5 3 -7 -9 -1 -116;1 -6 6 7 -5 2 -4 1 -5 2 -54;5 -4 1 1 -2 6 -2 6 -9 3 -20];
>> RREF(J)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
>> F=[2 -1 -1 2 3 -1 -4 1 -2 1 -28;1 -3 1 1 -2 -1 5 -5 4 -5 -62;-2 1 1 5 -1 1 -2 1 -1 -1 -4;5 1 -3 -1 1 -6 1 -4 -1 1 -118;1 -2 1 1 -3 1 -4 -1 -7 -1 -214;4 -1 5 -1 1 -3 1 -2 1 -5 -100;1 2 -1 1 -6 -2 -1 1 -1 -4 -158;1 -1 2 -3 -1 1 -9 -1 1-3 -183;3 1 -1 -8 -1 -5 1 -3 -1 1 -149;1 -4 -4 -1 -6 1 5 -2 -7 -2 -203];
F=
2 -1 -1 2 3 -1 -4 1 -2 1 -28
1 -3 1 1 -2 -1 5 -5 4 -5 -62
-2 1 1 5 -1 1 -2 1 -1 -1 -4
5 1 -3 -1 1 -6 1 -4 -1 1 -118
1 -2 1 1 -3 1 -4 -1 -7 -1 -214
4 -1 5 -1 1 -3 1 -2 1 -5 -100
1 2 -1 1 -6 -2 -1 1 -1 -5 -158
1 -1 2 -3 -1 1 -9 -1 1 -3 -183
3 1 -1 -8 -1 -5 1 -3 -1 1 -149
1 -4 -4 -1 -6 1 5 -2 -7 -2 -203
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
F=[1 1 -1 -9 -1 2 -1 -4 -3 1 -42;-5 1 -2 -3 1 -1 -6 -2 1 -3 -32;3 -1 1 -4 -5 1 1 -3 1 2 -4;1 -3 1 1 -1 -3 -1 1 -8 -1 -100;4 -1 1 -2 1 1 -7 -1 1 1 -48;-1 1 -5 -5 1 1 -2 -1 3 -1 36;8 -1 -1 1 -4 -3 3 1-1 -5 0;1 7-4 -1 -5 6 -1 1 -6 1 42;-6 -1 -1 8 -3 -1 6 -3 1 -1 42;1 2 -6 -3 1 -2 -5 -1 -4 4 -26]
F=
1 1 -1 -9 -1 2 -1 -4 -3 1 -42
-5 1 -2 -3 1 -1 -6 -2 1 -3 -32
3 -1 1 -4 -5 1 1 -3 1 2 -4
1 -3 1 1 -1 -3 -1 1 -8 -1 -100
4 -1 1 -2 1 1 -7 -1 1 1 -48
-1 1 -5 -5 1 1 -2 -1 3 -1 36
8 -1 -1 1 -4 -3 3 1 -1 5 0
1 7 -4 -1 -5 6 -1 1 -6 1 -64
-6 -1 -1 8 -3 -1 6 -3 3 -1 42
1 2 -6 -3 1 -2 -5 -1 -4 4 -26
>> RREF(D)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
This is a Classroom License for instructional use only.
Research and commercial use is prohibited.
>> A=[3 -2 1 4 -5 7 2 -1 5 3 215;-1 -1 -1 1 -2 2 -3 5 -1 3 78;5 3 2 -1 1 2 -1 -3 1 -1 -12;1 5 1 2 -2 -3 2 -6 2 -1 -65;4 1 2 1 -3 -3 5 -10 5 -5 -131;7 -2 1 1 -1 5 6 8 -3 10 396;2 3 1 2 1 2 -3 1 -1 1 39;1 1 -1 1 -1 1 1 1 1 -1 34;6 5 2 3 4 -2 2 -1 2 1 130;2 3 -5 -7 1 -1 -1 1 1 -2 -84]
A =
3 -2 1 4 -5 7 2 -1 5 3 215
-1 -1 -1 1 -2 2 -3 5 -1 3 78
5 3 2 -1 1 2 -1 -3 1 -1 -12
1 5 1 2 -2 -3 2 -6 2 -1 -65
4 1 2 1 -3 -3 5 -10 5 -5 -131
7 -2 1 1 -1 5 6 8 -3 10 396
2 3 1 2 1 2 -3 1 -1 1 39
1 1 -1 1 -1 1 1 1 1 -1 34
6 5 2 3 4 -2 2 -1 2 1 130
2 3 -5 -7 1 -1 -1 1 1 -2 -84
>> rref(A)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
>> B=[-8 -6 4 2 -2 4 -6 8 -1 -1 98;1 1 1 1 1 -1 1 -1 2 -2 -28;2 3 -2 2 -1 -2 1 -2 3 -5 -80;5 -2 3 -1 1 -1 2 1 2 1 12;-1 -1 1 -2 3 3 2 3 1 5 138;-6 2 3 5 -2 -5 1 1 -1 2 18;1 4 -1 2 -5 1 -1 1 1 3 10;2 1 -1 -1 1 1 2 5 -1 1 44;3 5 3 5 -5 5 -3 1 1 -1 -78;-1 2 2 3 -3 4 -4 5 2 1 40]
B =
-8 -6 4 2 -2 4 -6 8 -1 -1 98
1 1 1 1 1 -1 1 -1 2 -2 -28
2 3 -2 2 -1 -2 1 -2 3 -5 -80
5 -2 3 -1 1 -1 2 1 2 1 12
-1 -1 1 -2 3 3 2 3 1 5 138
-6 2 3 5 -2 -5 1 1 -1 2 18
1 4 -1 2 -5 1 -1 1 1 3 10
2 1 -1 -1 1 1 2 5 -1 1 44
3 5 3 5 -5 5 -3 1 1 -1 -78
-1 2 2 3 -3 4 -4 5 2 1 40
>> rref(B)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
>>
Y=[1 -2 3 1 -4 -5 2 1 3 -4 -58;2 -1 1 -2 3 4 -3 -2 -3 6 55;6 3 4 -1 -2 -3 1 2 -1 -3 -54;-8 -6 -9 2 -3 1 -3 2 -4 2 -112;-6 5 4 -3 -3 1 1 5 -3 1 100;-10 8 6 -1 -1 2 -3 6 -5 -8 -136;5 4 -3 -2 -2 -5 2 3 4 5 149;1 4 6 -3 4 -2 -1 5 -3 -6 -67;2 -3 4 -6 -8 -1 2 -6 -7 -4 -371;9 8 5 2 -3 -2 -1 3 -1 -1 19]
Y =
1 -2 3 1 -4 -5 2 1 3 -4 -58
2 -1 1 -2 3 4 -3 -2 -3 6 55
6 3 4 -1 -2 -3 1 2 -1 -3 -54
-8 -6 -9 2 -3 1 -3 2 -4 2 -112
-6 5 4 -3 -3 1 1 5 -3 1 100
-10 8 6 -1 -1 2 -3 6 -5 -8 -136
5 4 -3 -2 -2 -5 2 3 4 5 149
1 4 6 -3 4 -2 -1 5 -3 -6 -67
2 -3 4 -6 -8 -1 2 -6 -7 -4 -371
9 8 5 2 -3 -2 -1 3 -1 -1 19
>> rref(Y)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
Y=[1 -2 3 4 -5 4 -2 -1 -1 2 -16;2 -1 -4 5 6 -7 8 -2 3 5 100;-1 -4 -3 2 -1 -3 4 6 -8 -9 -106;5 -6 8 7 -6 4 1 -3 5 -6 -86;8 -2 3 5 -6 0 3 2 -1 1 -50;-1 4 -9 8 1 2 2 -3 4 -5 -18;3 5 -1 4 -5 2 -5 1 -7 -9 -264;-2 3 -5 -8 6 -4 2 8 -6 5 106;-4 -1 -2 -3 -1 6 -3 -5 7 -3 50;-2 -3 4 5 -3 -2 -1 3 5 -8 -34]
Y =
1 -2 3 4 -5 4 -2 -1 -1 2 -16
2 -1 -4 5 6 -7 8 -2 3 5 100
-1 -4 -3 2 -1 -3 4 6 -8 -9 -106
5 -6 8 7 -6 4 1 -3 5 -6 -86
8 -2 3 5 -6 0 3 2 -1 1 -50
-1 4 -9 8 1 2 2 -3 4 -5 -18
3 5 -1 4 -5 2 -5 1 -7 -9 -264
-2 3 -5 -8 6 -4 2 8 -6 5 106
-4 -1 -2 -3 -1 6 -3 -5 7 -3 50
-2 -3 4 5 -3 -2 -1 3 5 -8 -34
>> rref(Y)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
>> J=[-2 5 -1 6 4 -8 1 9 -7 1 46;1 -4 5 -7 8 9 -2 4 3 -2 183;5 3 2 -4 5 -8 -1 6 -5 -4 -131;-1 -2 -3 6 7 -9 5 -7 8 2 118;5 1 -2 4 -5 4 -3 -2 2 5 85;4 -1 6 -11 4 -7 -5 3 -4 1 -156;9 -7 7 2 -7 3 9 2 -2 5 215;-8 -3 -5 9 8 -5 2 4 -5 -3 -18;1 9 -8 4 -2 -3 4 -9 5 1 -14;7 -6 5 -2 7 6 -9 -6 -3 3 -72];
>>RREF(J)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
J=[-1 1 2 -3 -5 4 -7 8 2 -1 36;1 -3 7 5 -4 2 -2 -3 9 4 74;2 3 -2 1 -2 5 -9 -5 2 1 -74;4 -2 -5 2 3 -6 1 -4 1 -2 -62;-9 -4 6 -8 7 -1 -1 2 -1 3 134;-2 5 -8 1 -8 7 -5 7 4 5 154;3 -2 4 -2 5 -4 8 3 -4 8 98;-4 -5 7 4 9 -5 3 -7 -9 -1 -116;1 -6 6 7 -5 2 -4 1 -5 2 -54;5 -4 1 1 -2 6 -2 6 -9 3 -20];
>> RREF(J)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
>> J=[-2 5 -1 6 4 -8 1 9 -7 1 46;1 -4 5 -7 8 9 -2 4 3 -2 183;5 3 2 -4 5 -8 -1 6 -5 -4 -131;-1 -2 -3 6 7 -9 5 -7 8 2 118;5 1 -2 4 -5 4 -3 -2 2 5 85;4 -1 6 -11 4 -7 -5 3 -4 1 -156;9 -7 7 2 -7 3 9 2 -2 5 215;-8 -3 -5 9 8 -5 2 4 -5 -3 -18;1 9 -8 4 -2 -3 4 -9 5 1 -14;7 -6 5 -2 7 6 -9 -6 -3 3 -72];
>>RREF(J)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
J=[-1 1 2 -3 -5 4 -7 8 2 -1 36;1 -3 7 5 -4 2 -2 -3 9 4 74;2 3 -2 1 -2 5 -9 -5 2 1 -74;4 -2 -5 2 3 -6 1 -4 1 -2 -62;-9 -4 6 -8 7 -1 -1 2 -1 3 134;-2 5 -8 1 -8 7 -5 7 4 5 154;3 -2 4 -2 5 -4 8 3 -4 8 98;-4 -5 7 4 9 -5 3 -7 -9 -1 -116;1 -6 6 7 -5 2 -4 1 -5 2 -54;5 -4 1 1 -2 6 -2 6 -9 3 -20];
>> RREF(J)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
>> J=[-2 5 -1 6 4 -8 1 9 -7 1 46;1 -4 5 -7 8 9 -2 4 3 -2 183;5 3 2 -4 5 -8 -1 6 -5 -4 -131;-1 -2 -3 6 7 -9 5 -7 8 2 118;5 1 -2 4 -5 4 -3 -2 2 5 85;4 -1 6 -11 4 -7 -5 3 -4 1 -156;9 -7 7 2 -7 3 9 2 -2 5 215;-8 -3 -5 9 8 -5 2 4 -5 -3 -18;1 9 -8 4 -2 -3 4 -9 5 1 -14;7 -6 5 -2 7 6 -9 -6 -3 3 -72];
>>RREF(J)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
J=[-1 1 2 -3 -5 4 -7 8 2 -1 36;1 -3 7 5 -4 2 -2 -3 9 4 74;2 3 -2 1 -2 5 -9 -5 2 1 -74;4 -2 -5 2 3 -6 1 -4 1 -2 -62;-9 -4 6 -8 7 -1 -1 2 -1 3 134;-2 5 -8 1 -8 7 -5 7 4 5 154;3 -2 4 -2 5 -4 8 3 -4 8 98;-4 -5 7 4 9 -5 3 -7 -9 -1 -116;1 -6 6 7 -5 2 -4 1 -5 2 -54;5 -4 1 1 -2 6 -2 6 -9 3 -20];
>> RREF(J)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
This is a Classroom License for instructional use only.
Research and commercial use is prohibited.
>> A=[5,3,1,-1,15,-1,5,10,-5,10,456;12,-4,3,3,-11,-2,3,2,-3,5,28;-3,5,4,-7,2,-4,2,-3,2,3,29;-2,-1,-2,8,1,-10,10,-5,1,-2,-26;10,-2,-10,-10,-9,-13,20,1,-7,-1,-203;20,13,-20,13,-7,-20,11,2,-8,-2,-234;1,20,15,-11,-3,-3,13,-5,9,5,341;8,-17,-13,9,1,-1,1,-20,10,6,-50;-1,-8,21,-3,5,-5,5,15,-11,8,304;6,4,-3,4,9,-6,3,4,-12,-11,-268]
A =
5 3 1 -1 15 -1 5 10 -5 10 456
12 -4 3 3 -11 -2 3 2 -3 5 28
-3 5 4 -7 2 -4 2 -3 2 3 29
-2 -1 -2 8 1 -10 10 -5 1 -2 -26
10 -2 -10 -10 -9 -13 20 1 -7 -1 -203
20 13 -20 13 -7 -20 11 2 -8 -2 -234
1 20 15 -11 -3 -3 13 -5 9 5 341
8 -17 -13 9 1 -1 1 -20 10 6 -50
-1 -8 21 -3 5 -5 5 15 -11 8 304
6 4 -3 4 9 -6 3 4 -12 -11 -268
>> rref(A)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
D=[1,10,-1,10,-2,1,-10,3,-1,-5,-190;2,9,-2,-9,4,3,-5,5,-5,-3,-100;-3,8,-3,8,-6,5,-3,-9,3,-1,-92;4,7,-4,-7,8,-7,2,-5,2,-1,-76;5,6,-5,6,-10,-9,1,1,-9,-2,-224;6,5,-10,-1,12,-11,13,2,-13,10,28;-7,4,-9,2,-14,13,-14,-3,4,7,104;8,3,-8,-3,16,15,-7,-9,10,6,106;9,2,-7,4,-18,17,-5,13,-1,9,140;-10,1,-6,-5,20,-19,3,4,-21,11,44]
D =
1 10 -1 10 -2 1 -10 3 -1 -5 -190
2 9 -2 -9 4 3 -5 5 -5 -3 -100
-3 8 -3 8 -6 5 -3 -9 3 -1 -92
4 7 -4 -7 8 -7 2 -5 2 -1 -76
5 6 -5 6 -10 -9 1 1 -9 -2 -224
6 5 -10 -1 12 -11 13 2 -13 10 28
-7 4 -9 2 -14 13 -14 -3 4 7 104
8 3 -8 -3 16 15 -7 -9 10 6 106
9 2 -7 4 -18 17 -5 13 -1 9 140
-10 1 -6 -5 20 -19 3 4 -21 11 44
>> rref(D)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
A=[1 -3 -5 7 9 -11 13 15 -17 19 442;-2 5 -3 6 -4 7 -5 8 -6 9 205;3 6 -9 -12 15 -18 -21 24 -27 30 27;-4 -6 8 10 -12 14 16 -18 20 22 830;5 6 8 11 -15 -20 -26 33 41 50 1589;6 -9 -12 -16 -21 -26 32 38 45 52 2071;-7 6 5 4 3 -2 -1 -8 -9 10 -27;8 1 -9 2 -10 3 -11 4 -12 5 -269;-9 8 7 6 5 4 3 2 1 -1 248;-10 -12 8 -14 6 -16 -4 18 -2 -20 -422];
>> rref(A)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
B=[22 20 -18 16 -14 -12 10 -8 6 -4 -324;-50 41 33 31 -22 15 -33 51 -42 28 102;7 -9 15 -23 -28 8 10 16 24 -29 40;-1 19 10 2 18 9 -3 -20 8 4 -128;52 -45 -38 32 -26 21 -16 12 9 -6 -8;5 12 4 -11 3 10 -2 -9 -1 8 -58;-9 -6 8 -5 -7 -4 6 -3 12 2 212;-8 6 -4 2 -2 4 -6 8 -10 12 124;12 -21 -31 13 14 -41 11 -1 23 -32 -104;-18 15 13 6 9 -12 -4 5 7 11 178];
>> rref(B)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
This is a Classroom License for instructional use only.
Research and commercial use is prohibited.
>> A=[5,3,1,-1,15,-1,5,10,-5,10,456;12,-4,3,3,-11,-2,3,2,-3,5,28;-3,5,4,-7,2,-4,2,-3,2,3,29;-2,-1,-2,8,1,-10,10,-5,1,-2,-26;10,-2,-10,-10,-9,-13,20,1,-7,-1,-203;20,13,-20,13,-7,-20,11,2,-8,-2,-234;1,20,15,-11,-3,-3,13,-5,9,5,341;8,-17,-13,9,1,-1,1,-20,10,6,-50;-1,-8,21,-3,5,-5,5,15,-11,8,304;6,4,-3,4,9,-6,3,4,-12,-11,-268]
A =
5 3 1 -1 15 -1 5 10 -5 10 456
12 -4 3 3 -11 -2 3 2 -3 5 28
-3 5 4 -7 2 -4 2 -3 2 3 29
-2 -1 -2 8 1 -10 10 -5 1 -2 -26
10 -2 -10 -10 -9 -13 20 1 -7 -1 -203
20 13 -20 13 -7 -20 11 2 -8 -2 -234
1 20 15 -11 -3 -3 13 -5 9 5 341
8 -17 -13 9 1 -1 1 -20 10 6 -50
-1 -8 21 -3 5 -5 5 15 -11 8 304
6 4 -3 4 9 -6 3 4 -12 -11 -268
>> rref(A)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
D=[1,10,-1,10,-2,1,-10,3,-1,-5,-190;2,9,-2,-9,4,3,-5,5,-5,-3,-100;-3,8,-3,8,-6,5,-3,-9,3,-1,-92;4,7,-4,-7,8,-7,2,-5,2,-1,-76;5,6,-5,6,-10,-9,1,1,-9,-2,-224;6,5,-10,-1,12,-11,13,2,-13,10,28;-7,4,-9,2,-14,13,-14,-3,4,7,104;8,3,-8,-3,16,15,-7,-9,10,6,106;9,2,-7,4,-18,17,-5,13,-1,9,140;-10,1,-6,-5,20,-19,3,4,-21,11,44]
D =
1 10 -1 10 -2 1 -10 3 -1 -5 -190
2 9 -2 -9 4 3 -5 5 -5 -3 -100
-3 8 -3 8 -6 5 -3 -9 3 -1 -92
4 7 -4 -7 8 -7 2 -5 2 -1 -76
5 6 -5 6 -10 -9 1 1 -9 -2 -224
6 5 -10 -1 12 -11 13 2 -13 10 28
-7 4 -9 2 -14 13 -14 -3 4 7 104
8 3 -8 -3 16 15 -7 -9 10 6 106
9 2 -7 4 -18 17 -5 13 -1 9 140
-10 1 -6 -5 20 -19 3 4 -21 11 44
>> rref(D)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
This is a Classroom License for instructional use only.
Research and commercial use is prohibited.
>> A=[5,3,1,-1,15,-1,5,10,-5,10,456;12,-4,3,3,-11,-2,3,2,-3,5,28;-3,5,4,-7,2,-4,2,-3,2,3,29;-2,-1,-2,8,1,-10,10,-5,1,-2,-26;10,-2,-10,-10,-9,-13,20,1,-7,-1,-203;20,13,-20,13,-7,-20,11,2,-8,-2,-234;1,20,15,-11,-3,-3,13,-5,9,5,341;8,-17,-13,9,1,-1,1,-20,10,6,-50;-1,-8,21,-3,5,-5,5,15,-11,8,304;6,4,-3,4,9,-6,3,4,-12,-11,-268]
A =
5 3 1 -1 15 -1 5 10 -5 10 456
12 -4 3 3 -11 -2 3 2 -3 5 28
-3 5 4 -7 2 -4 2 -3 2 3 29
-2 -1 -2 8 1 -10 10 -5 1 -2 -26
10 -2 -10 -10 -9 -13 20 1 -7 -1 -203
20 13 -20 13 -7 -20 11 2 -8 -2 -234
1 20 15 -11 -3 -3 13 -5 9 5 341
8 -17 -13 9 1 -1 1 -20 10 6 -50
-1 -8 21 -3 5 -5 5 15 -11 8 304
6 4 -3 4 9 -6 3 4 -12 -11 -268
>> rref(A)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
D=[1,10,-1,10,-2,1,-10,3,-1,-5,-190;2,9,-2,-9,4,3,-5,5,-5,-3,-100;-3,8,-3,8,-6,5,-3,-9,3,-1,-92;4,7,-4,-7,8,-7,2,-5,2,-1,-76;5,6,-5,6,-10,-9,1,1,-9,-2,-224;6,5,-10,-1,12,-11,13,2,-13,10,28;-7,4,-9,2,-14,13,-14,-3,4,7,104;8,3,-8,-3,16,15,-7,-9,10,6,106;9,2,-7,4,-18,17,-5,13,-1,9,140;-10,1,-6,-5,20,-19,3,4,-21,11,44]
D =
1 10 -1 10 -2 1 -10 3 -1 -5 -190
2 9 -2 -9 4 3 -5 5 -5 -3 -100
-3 8 -3 8 -6 5 -3 -9 3 -1 -92
4 7 -4 -7 8 -7 2 -5 2 -1 -76
5 6 -5 6 -10 -9 1 1 -9 -2 -224
6 5 -10 -1 12 -11 13 2 -13 10 28
-7 4 -9 2 -14 13 -14 -3 4 7 104
8 3 -8 -3 16 15 -7 -9 10 6 106
9 2 -7 4 -18 17 -5 13 -1 9 140
-10 1 -6 -5 20 -19 3 4 -21 11 44
>> rref(D)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
This is a Classroom License for instructional use only.
Research and commercial use is prohibited.
>> A=[5,3,1,-1,15,-1,5,10,-5,10,456;12,-4,3,3,-11,-2,3,2,-3,5,28;-3,5,4,-7,2,-4,2,-3,2,3,29;-2,-1,-2,8,1,-10,10,-5,1,-2,-26;10,-2,-10,-10,-9,-13,20,1,-7,-1,-203;20,13,-20,13,-7,-20,11,2,-8,-2,-234;1,20,15,-11,-3,-3,13,-5,9,5,341;8,-17,-13,9,1,-1,1,-20,10,6,-50;-1,-8,21,-3,5,-5,5,15,-11,8,304;6,4,-3,4,9,-6,3,4,-12,-11,-268]
A =
5 3 1 -1 15 -1 5 10 -5 10 456
12 -4 3 3 -11 -2 3 2 -3 5 28
-3 5 4 -7 2 -4 2 -3 2 3 29
-2 -1 -2 8 1 -10 10 -5 1 -2 -26
10 -2 -10 -10 -9 -13 20 1 -7 -1 -203
20 13 -20 13 -7 -20 11 2 -8 -2 -234
1 20 15 -11 -3 -3 13 -5 9 5 341
8 -17 -13 9 1 -1 1 -20 10 6 -50
-1 -8 21 -3 5 -5 5 15 -11 8 304
6 4 -3 4 9 -6 3 4 -12 -11 -268
>> rref(A)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
D=[1,10,-1,10,-2,1,-10,3,-1,-5,-190;2,9,-2,-9,4,3,-5,5,-5,-3,-100;-3,8,-3,8,-6,5,-3,-9,3,-1,-92;4,7,-4,-7,8,-7,2,-5,2,-1,-76;5,6,-5,6,-10,-9,1,1,-9,-2,-224;6,5,-10,-1,12,-11,13,2,-13,10,28;-7,4,-9,2,-14,13,-14,-3,4,7,104;8,3,-8,-3,16,15,-7,-9,10,6,106;9,2,-7,4,-18,17,-5,13,-1,9,140;-10,1,-6,-5,20,-19,3,4,-21,11,44]
D =
1 10 -1 10 -2 1 -10 3 -1 -5 -190
2 9 -2 -9 4 3 -5 5 -5 -3 -100
-3 8 -3 8 -6 5 -3 -9 3 -1 -92
4 7 -4 -7 8 -7 2 -5 2 -1 -76
5 6 -5 6 -10 -9 1 1 -9 -2 -224
6 5 -10 -1 12 -11 13 2 -13 10 28
-7 4 -9 2 -14 13 -14 -3 4 7 104
8 3 -8 -3 16 15 -7 -9 10 6 106
9 2 -7 4 -18 17 -5 13 -1 9 140
-10 1 -6 -5 20 -19 3 4 -21 11 44
>> rref(D)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
profe
>> N=[1 2 7 -4 3 -10 -1 8 6 -5 45;4 -5 10 6 -3 12 2 -9 1 -6 -20;9 2 5 -4 -15 1 9 -8 -3 8 -14;12 8 16 -5 10 2 -7 -1 5 9 343;-10 -5 17 11 -9 19 13 -12 1 -10 81;13 4 -11 -2 7 8 -14 -3 7 1 18;-8 3 9 -10 -11 15 -8 9 4 -5 46;5 1 1 9 -16 -6 11 -10 -2 -1 -194;-9 8 5 -10 12 7 11 -9 1 -5 85;11 4 2 -3 -5 13 -12 10 -12 3 -43]
N =
1 2 7 -4 3 -10 -1 8 6 -5 45
4 -5 10 6 -3 12 2 -9 1 -6 -20
9 2 5 -4 -15 1 9 -8 -3 8 -14
12 8 16 -5 10 2 -7 -1 5 9 343
-10 -5 17 11 -9 19 13 -12 1 -10 81
13 4 -11 -2 7 8 -14 -3 7 1 18
-8 3 9 -10 -11 15 -8 9 4 -5 46
5 1 1 9 -16 -6 11 -10 -2 -1 -194
-9 8 5 -10 12 7 11 -9 1 -5 85
11 4 2 -3 -5 13 -12 10 -12 3 -43
>> rref(N)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
>> N=[-11 2 9 5 6 -7 -8 10 -4 3 42;4 7 -2 7 13 -9 -6 2 1 -1 -112;-3 8 1 10 -15 -8 5 -6 -7 2 -174;-8 10 5 1 -12 7 3 -11 -3 7 -30;10 -2 12 -7 -11 4 12 -14 2 1 -116;6 16 -13 15 -9 3 -8 18 17 5 198;19 -11 13 9 -5 2 10 -14 7 15 40;-2 5 7 -3 2 -8 12 -9 5 -6 -86;1 1 1 3 -5 10 -1 -1 11 -16 -90;-4 8 -5 2 -1 9 7 2 -12 8 68]
N =
-11 2 9 5 6 -7 -8 10 -4 3 42
4 7 -2 7 13 -9 -6 2 1 -1 -112
-3 8 1 10 -15 -8 5 -6 -7 2 -174
-8 10 5 1 -12 7 3 -11 -3 7 -30
10 -2 12 -7 -11 4 12 -14 2 1 -116
6 16 -13 15 -9 3 -8 18 17 5 198
19 -11 13 9 -5 2 10 -14 7 15 40
-2 5 7 -3 2 -8 12 -9 5 -6 -86
1 1 1 3 -5 10 -1 -1 11 -16 -90
-4 8 -5 2 -1 9 7 2 -12 8 68
>> rref(N)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
Buenas tardes Profesor Guillermo,
A continuación le adjunto de nuevo mi trabajo de "Matlab" que se encontraba pendiente debido a que no apareció la publicación anterior.
Le solicito por favor tener en cuenta este trabajo ya que el parcial anterior obtuve una nota bastante baja (2) y requiero de la ponderación de este para nivelar un poco el promedio.
Mil gracias por su colaboración y atención,
>> E=[3 -12 10 1 8 -2 4 -21 -7 10 -118;19 -3 -6 20 -11 -6 7 -30 -13 25 -150;7 -4 -12 -20 -5 20 5 -7 14 -15 -117;-20 8 -9 8 -7 -3 1 -9 -2 22 181;-12 9 -7 -2 9 8 4 -1 10 -20 -38;5 -13 1 7 -6 -4 2 -12 -3 6 -169;1 -10 4 -6 -10 7 12 -20 11 -4 -97;4 -11 2 5 12 -5 2 -14 -22 32 119;-11 6 -3 -9 4 3 21 -27 12 -54 -956; -2 7 -8 -3 7 1 27 -2 1 -5 275];
>> RREF(E)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
E=[3 -6 3 -8 6 -5 8 3 2 13 256;2 -8 2 9 -4 -3 6 5 -10 -14 -206;-10 -7 4 7 -8 7 -24 -2 1 -20 -286;-5 -4 5 -6 10 9 -36 -1 -50 21 -360;-4 -5 6 5 -12 11 -12 13 -12 3 -4;-7 -10 7 -4 14 -13 17 14 4 -7 242;6 -3 8 3 -16 -15 42 -10 5 11 194;8 -2 9 -2 18 -17 33 -15 -3 -1 -80; 1 -9 1 -10 2 -1 15 -10 -3 5 102; 9 -1 10 1 -20 19 -29 5 -4 1 -234];
E=
3 -6 3 -8 6 -5 8 3 2 13 256
2 -8 2 9 -4 -3 6 5 -10 -14 -206
-10 -7 4 7 -8 7 -24 -2 1 -20 -286
-5 -4 5 -6 10 9 -36 -1 -50 21 -360
-4 -5 6 5 -12 11 -12 13 -12 3 -4
-7 -10 7 -4 14 -13 17 14 4 -7 242
6 -3 8 3 -16 -15 42 -10 5 11 194
8 -2 9 -2 18 -17 33 -15 -3 -1 -80
1 -9 1 -10 2 -1 15 -10 -3 5 102
9 -1 10 1 -20 19 -29 5 -4 1 -234
>> RREF(E)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
This is a Classroom License for instructional use only.
Research and commercial use is prohibited.
>> D=[1 1 3 1 1 4 1 5 2 1 -18;2 3 -4 2 5 2 3 1 3 2 -111;5 2 1 1 1 3 4 2 3 1 -28 ;1 1 1 1 1 1 1 1 1 3 -78;1 4 2 3 4 5 2 1 1 1 -8;1 1 -1 1 1 1 1 1 1 1 -98;2 2 2 3 4 5 6 1 1 1 -163;1 3 -4 5 6 7 1 1 1 1 -119;1 1 -1 1 1 1 1 2 1 2 -16;1 1 2 2 3 3 4 4 2 2 -9];
>> RREF(D)
ans =
1 0 0 0 0 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 3
0 0 1 0 0 0 0 0 0 0 5
0 0 0 1 0 0 0 0 0 0 7
0 0 0 0 1 0 0 0 0 0 9
0 0 0 0 0 1 0 0 0 0 11
0 0 0 0 0 0 1 0 0 0 13
0 0 0 0 0 0 0 1 0 0 15
0 0 0 0 0 0 0 0 1 0 17
0 0 0 0 0 0 0 0 0 1 19
D=[2 1 -3 1 1 5 1 4 1 1 -30;1 1 2 1 2 4 1 1 2 1 -34;3 1 -3 1 4 1 1 5 1 1 16;1 5 -3 2 1 1 3 1 3 1 36;1 1 -3 4 2 1 5 1 1 1 2;1 1 5 1 1 2 4 1 3 1 36;2 1 -3 4 1 1 1 1 3 1 24;1 1 -2 1 4 1 2 3 1 1 38;1 4 -3 1 2 1 1 4 1 1 10;1 1 -2 1 1 1 3 1 2 5 120];
>> RREF(D)
ans =
1 0 0 0 0 0 0 0 0 0 -8
0 1 0 0 0 0 0 0 0 0 -6
0 0 1 0 0 0 0 0 0 0 -4
0 0 0 1 0 0 0 0 0 0 -2
0 0 0 0 1 0 0 0 0 0 2
0 0 0 0 0 1 0 0 0 0 4
0 0 0 0 0 0 1 0 0 0 6
0 0 0 0 0 0 0 1 0 0 8
0 0 0 0 0 0 0 0 1 0 10
0 0 0 0 0 0 0 0 0 1 12
Buenos dias, Profe no voy a cancelar nada la materia por inasistencia debido a que hice una peticion en la empresa para descansar de las reuniones que se realizan los lunes, le pido disculpas por la demora con el trabajo y le agradesco su colaboracion.
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