Related

echelon-matrix

M:matrix([1,1,0,0,0,1...

echelon(M);

Calculate

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

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

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

Calculate

transpose

? ? matrix.transpose;

Calculate

echelon-matrix

a:matrix([1/r3+1/rp2+...

echelon (a);

Calculate

echelon-matrix

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

echelon(M);

Calculate

transpose

m:matrix[[1,2,x],[0,x...

transpose(m);

Calculate

Wy:22;

M:3.8;

Calculate

beta-plot2d-sin

beta(x) := 1/x * sin(x);

plot2d([beta(x),%pi/2...

Calculate

echelon-matrix-rank-row

m:matrix([1,0,2],[-2,...

rank(m);

echelon(m);

Calculate

beta-diff

diff((1-t/tc)**(2*bet...

Calculate

[beta,coefmatrix,echelon,rank,row,transpose]

Run Example
```(%i1)eq1:x=lambda+alfa+beta;
(%o1)                      x = lambda + beta + alfa
(%i2) eq2:y=lambda-alfa+3*beta;
(%o2)                     y = lambda + 3 beta - alfa
(%i3) eq3:z=lambda+2*alfa;
(%o3)                         z = lambda + 2 alfa
(%i4) eq4:t=2*lambda+3*alfa+beta;
(%o4)                    t = 2 lambda + beta + 3 alfa
[ - 1  - 1  - 1 ]
[               ]
[ - 1   1   - 3 ]
(%o5)                          [               ]
[ - 1  - 2   0  ]
[               ]
[ - 2  - 3  - 1 ]
[ - 1  - 1  - 1  - 2 ]
[                    ]
(%o6)                       [ - 1   1   - 2  - 3 ]
[                    ]
[ - 1  - 3   0   - 1 ]
(%i7) rank(m);
(%o7)                                  2
(%i8) n: echelon(m);
[ 1  3   0    1  ]
[                ]
[         1    1 ]
(%o8)                         [ 0  1  - -  - - ]
[         2    2 ]
[                ]
[ 0  0   0    0  ]
(%i9) w1:row(n,1);
(%o9)                           [ 1  3  0  1 ]
(%i10) w2:row(n,2);
[         1    1 ]
(%o10)                        [ 0  1  - -  - - ]
[         2    2 ]
(%i11) ```
Run Example
```eq1:x=lambda+alpha+beta;
(%o1)                      x = lambda + beta + alpha
(%i2) eq2:y=lambda-alpha+3*beta;
(%o2)                     y = lambda + 3 beta - alpha
(%i3) eq3:z=lambda+2*alpha;
(%o3)                        z = lambda + 2 alpha
(%i4) eq4:t=2*lambda+3*alpha+beta;
(%o4)                    t = 2 lambda + beta + 3 alpha
(%i5) n:coefmatrix([eq1,eq2,eq3,eq4],[lambda,alpha,beta]);
[ - 1  - 1  - 1 ]
[               ]
[ - 1   1   - 3 ]
(%o5)                          [               ]
[ - 1  - 2   0  ]
[               ]
[ - 2  - 3  - 1 ]
(%i6) rank(n);
(%o6)                                  2
(%i7) M:echelon(n);
[ 1  2   0  ]
[           ]
[ 0  1  - 1 ]
(%o7)                            [           ]
[ 0  0   0  ]
[           ]
[ 0  0   0  ]
(%i8) transpose(M);
[ 1   0   0  0 ]
[              ]
(%o8)                          [ 2   1   0  0 ]
[              ]
[ 0  - 1  0  0 ]
(%i9) w1:row(M,1);
(%o9)                             [ 1  2  0 ]
(%i10) w2:row(M,2);
(%o10)                           [ 0  1  - 1 ]
(%i11) w3:row(M,3);
(%o11)                            [ 0  0  0 ]
(%i12) ```
Run Example
```eq1:x=lambda+alfa+beta;
(%o1)                      x = lambda + beta + alfa
(%i2) eq2:y=lambda-alfa+3*beta;
(%o2)                     y = lambda + 3 beta - alfa
(%i3) eq3:z=lambda+2*alfa;
(%o3)                         z = lambda + 2 alfa
(%i4) eq4:t=2*lambda+3*alfa+beta;
(%o4)                    t = 2 lambda + beta + 3 alfa
[ - 1  - 1  - 1 ]
[               ]
[ - 1   1   - 3 ]
(%o5)                          [               ]
[ - 1  - 2   0  ]
[               ]
[ - 2  - 3  - 1 ]
(%o6)                                  2
[ 1  2   0  ]
[           ]
[ 0  1  - 1 ]
(%o7)                            [           ]
[ 0  0   0  ]
[           ]
[ 0  0   0  ]
(%i8) w1:row(n,1);
(%o8)                             [ 1  2  0 ]
(%i9) w2:row(n,2);
(%o9)                            [ 0  1  - 1 ]
(%i10) transpose(n);
[ 1   0   0  0 ]
[              ]
(%o10)                         [ 2   1   0  0 ]
[              ]
[ 0  - 1  0  0 ]
(%i11) ```