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echelon-matrix-rank-row

v1:[1,2,3,4,5];

v2:[0,-1,1,2,3];

v3:[3,2,1,0,-1];

Calculate

echelon-matrix

v1:[1,2,-1];

v2:[3,-1,0];

v3:[4,1,-1];

Calculate

echelon-matrix-rank

v1:[1,0,2];

v2:[-2,1,1];

v3:[0,1,5];

Calculate

echelon-matrix

M:matrix([1,2,3],[2,4...

echelon(M);

Calculate

echelon-linsolve-matrix-rank

/* El subespacio T={(...

s2:[2,5,3,1];

s3:[1,-1,-2,2];

Calculate

echelon-matrix

M:matrix([1, 1/2, -1,...

echelon(M);

Calculate

echelon-matrix

a:matrix([0,0,1,0],[1...

echelon(a);

Calculate

echelon-linsolve-matrix-rank

eq1:x*4+y-2=y;

eq2:x+2=y;

linsolve([eq1,eq2],[x...

Calculate

echelon-matrix

a:matrix([1, 0, -1], ...

echelon(a);

Calculate

echelon-matrix

M: matrix ([1,2,3],[3...

A: echelon (M);

A .[x,y,-1];

Calculate

echelon

Run Example
(%i1)A: matrix ([5,2,-1],[-1,-2,-3],[-8,-3,2],[3,-1,5]);
                               [  5    2   - 1 ]
                               [               ]
                               [ - 1  - 2  - 3 ]
(%o1)                          [               ]
                               [ - 8  - 3   2  ]
                               [               ]
                               [  3   - 1   5  ]
(%i2) echelon(A);
                                 [    2    1 ]
                                 [ 1  -  - - ]
                                 [    5    5 ]
                                 [           ]
(%o2)                            [ 0  1   2  ]
                                 [           ]
                                 [ 0  0   1  ]
                                 [           ]
                                 [ 0  0   0  ]
(%i3) 
Run Example
v1:[2, 1, 1, 1];
(%o1)                            [2, 1, 1, 1]
(%i2) v2:[-1, 1,0, 1];
(%o2)                           [- 1, 1, 0, 1]
(%i3) v3:[3, 1,1,1];
(%o3)                            [3, 1, 1, 1]
(%i4) v4: [0,2,-1,0];
(%o4)                           [0, 2, - 1, 0]
(%i5) m:matrix(v1,v2,v3,v4);
                              [  2   1   1   1 ]
                              [                ]
                              [ - 1  1   0   1 ]
(%o5)                         [                ]
                              [  3   1   1   1 ]
                              [                ]
                              [  0   2  - 1  0 ]
(%i6) me:echelon(m);
                             [ 1  - 1   0   - 1 ]
                             [                  ]
                             [           1      ]
                             [ 0   1   - -   0  ]
                             [           2      ]
(%o6)                        [                  ]
                             [               4  ]
                             [ 0   0    1    -  ]
                             [               3  ]
                             [                  ]
                             [ 0   0    0    1  ]
(%i7) 
Run Example
v1:[1,0,2];
(%o1)                              [1, 0, 2]
(%i2) v2:[-2,1,1];
(%o2)                             [- 2, 1, 1]
(%i3) v3:[0,1,5];
(%o3)                              [0, 1, 5]
(%i4) m:matrix(v1,v2,v3);
                                 [  1   0  2 ]
                                 [           ]
(%o4)                            [ - 2  1  1 ]
                                 [           ]
                                 [  0   1  5 ]
(%i5) rank(m);
(%o5)                                  2
(%i6) determinant (m);
(%o6)                                  0
(%i7) n: echelon(m);
                                  [ 1  0  2 ]
                                  [         ]
(%o7)                             [ 0  1  5 ]
                                  [         ]
                                  [ 0  0  0 ]
(%i8) w1:row(n,1);
(%o8)                             [ 1  0  2 ]
(%i9) w2:row(n,2);
(%o9)                             [ 0  1  5 ]
(%i10) newma:matrix([1,0,2],[0,1,5],[x,y,z]);
                                  [ 1  0  2 ]
                                  [         ]
(%o10)                            [ 0  1  5 ]
                                  [         ]
                                  [ x  y  z ]
(%i11) 
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