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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-transpose

f(x,y,z):=[z+y,-x+y-z...

mf:transpose(matrix(f...

imagen:matrix(f(1,0,0...

Calculate

beta-eval-grind-integrate

tau:T/(A+T);

a_T:A/(A+T);

eq:B+(C-B)*tau^2*(1-a...

Calculate

echelon-matrix-rank

v1:[1,0,2];

v2:[3,-1,0];

v3:[0,1,5];

Calculate

echelon-matrix-rank-row

v1:[1,2,-1];

v2:[3,-1,0];

v3:[4,1,-1];

Calculate

echelon-matrix

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

echelon(M);

Calculate

row-solve

uk_row:[3*x1+x2-2*x3-...

solve(uk_row,[x1,x2,x...

Calculate

transpose

A:matrix[[-3,1,0],[2,...

B:matrix[[2,-1,3],[1,...

C:matrix[[-1,2,1],[1,...

Calculate

echelon-matrix

S1:matrix([2,1,-2,3,0...

S2:matrix([1,0,0,0,0]...

S3:matrix([1,1,2,0,1,...

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
(%i5) matrizasociada:coefmatrix([eq1,eq2,eq3,eq4],[lambda,alfa,beta]);
                               [ - 1  - 1  - 1 ]
                               [               ]
                               [ - 1   1   - 3 ]
(%o5)                          [               ]
                               [ - 1  - 2   0  ]
                               [               ]
                               [ - 2  - 3  - 1 ]
(%i6) m:transpose(matrizasociada);
                            [ - 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
(%i5) matrizasociada:coefmatrix([eq1,eq2,eq3,eq4],[lambda,alfa,beta]);
                               [ - 1  - 1  - 1 ]
                               [               ]
                               [ - 1   1   - 3 ]
(%o5)                          [               ]
                               [ - 1  - 2   0  ]
                               [               ]
                               [ - 2  - 3  - 1 ]
(%i6) rank(matrizasociada);
(%o6)                                  2
(%i7) n: echelon(matrizasociada);
                                 [ 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) 
[addcol,beta,coefmatrix,determinant,echelon,linsolve,rank,transpose] [addcol,beta,coefmatrix,determinant,echelon,rank,row,transpose] [addcol,beta,coefmatrix,determinant,echelon,rank,transpose] [addcol,beta,coefmatrix,determinant,expand,rank,transpose] [addcol,beta,coefmatrix,determinant,rank,solve,transpose] [addcol,beta,coefmatrix,determinant,rank,transpose] [addcol,beta,coefmatrix,echelon,rank,row,transpose] [addcol,beta,coefmatrix,echelon,rank,transpose] [addcol,beta,coefmatrix,rank,transpose] [addcol,coefmatrix,determinant,gamma,lambda,rank,transpose] [addcol,coefmatrix,gamma,lambda,rank,transpose] [addcol,echelon,ident,matrix,transpose] [addcol,echelon,matrix,transpose] [append,exp,invert,matrix,radcan,row,sqrt,transpose] [beta,coefmatrix,determinant,kill,linsolve] [beta,coefmatrix,echelon,rank,row,transpose] [beta,coefmatrix,echelon,rank,row] [beta,coefmatrix,echelon,rank,transpose] [beta,coefmatrix,echelon,rank] [beta,coefmatrix,kill,rank] [beta,coefmatrix,rank,transpose] [beta,coefmatrix,rank] [beta,coefmatrix] [beta,echelon,kill,linsolve,matrix,rank] [beta,gamma,linsolve,matrix,transpose] [beta,matrix,transpose] [ceiling,col,do,endcons,float,genmatrix,kill,makelist,min,permanent,print,random,row,sort,sqrt,transpose] [coefmatrix,echelon,rank] [col,genmatrix,min,numer,permanent,random,row,sort,sqrt,transpose] [col,length,matrix,matrixp,rest,row,transpose] [determinant,echelon,linsolve,matrix,rank] [determinant,echelon,matrix,rank,row] [determinant,echelon,matrix,rank,transpose] [determinant,echelon,matrix,rank] [determinant,eigenvalues,eigenvectors,ident,invert,matrix,rank,submatrix,transpose] [determinant,eigenvalues,ident,invert,matrix,rank,submatrix,transpose] [determinant,ident,invert,matrix,rank,submatrix,transpose] [echelon,integrate,matrix,partfrac,rank,submatrix] [echelon,kill,matrix,transpose] [echelon,linsolve,matrix,rank] [echelon,linsolve,matrix,transpose] [echelon,matrix,rank,row,transpose] [echelon,matrix,rank,row] [echelon,matrix,rank,transpose] [echelon,matrix,rank] [echelon,matrix,row,transpose] [echelon,matrix,transpose] [invert,matrix,rank,transpose] [matrix,nullity,nullspace,rank,transpose] [matrix,nullity,rank,sqrt,transpose]

Related Help

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Help for Coefmatrix

Help for Echelon

Help for Rank

Help for Row

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