Sponsored links: Algebra eBooks
 

Related

coefmatrix-length-makelist-triangularize

eqlist: [wu-wt,2*wu-w...

m: coefmatrix(makelis...

triangularize(m);

Calculate

coefmatrix-determinant-linsolve

v1:x+y+t=0;

v2:x+2*y-z+t=0;

v3:x-y+z+t=0;

Calculate

coefmatrix-lambda

eq1:x=lambda;

eq2:y=2*lambda;

eq3:z=0;

Calculate

coefmatrix-length-makelist-rank-triangularize

eqlist: [wu-wt,2*wu-w...

m: coefmatrix(makelis...

triangularize(m);

Calculate

coefmatrix-kill

kill(v1,v2,v3);

v1:[-1,0,1];

v2:[0,1,-1];

Calculate

coefmatrix

j1(x,y,z):= 0*x + 0*y...

j2(x,y,z):= 6.5*x + 2...

j3(x,y,z):= 6.5*x - 2...

Calculate

coefmatrix-eliminate-length-makelist-rank-triangularize-unique

eqlist: [wu-wt,2*wu-w...

m: coefmatrix(makelis...

triangularize(m);

Calculate

coefmatrix-gamma-lambda-rank

eq1:x=lambda;

eq2:y=lambda+mu;

eq3:z=gamma;

Calculate

coefmatrix-gamma-lambda

eq1:x=lambda;

eq2:y=lambda+mu;

eq3:z=gamma;

Calculate

coefmatrix

vf:[z+y,-x+y-z,z];

Mf:coefmatrix([z+y,-x...

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

Calculate

coefmatrix

Run Example
(%i1)eq1:x=lambda;
(%o1)                             x = lambda
(%i2) eq2:y=lambda+mu;
(%o2)                           y = lambda + mu
(%i3) eq3:z=gamma;
(%o3)                              z = gamma
(%i4) eq4:t=mu;
(%o4)                               t = mu
(%i5) ma:coefmatrix([eq1,eq2,eq3,eq4],[lambda,mu,gamma]);
                               [ - 1   0    0  ]
                               [               ]
                               [ - 1  - 1   0  ]
(%o5)                          [               ]
                               [  0    0   - 1 ]
                               [               ]
                               [  0   - 1   0  ]
(%i6) rank(ma);
(%o6)                                  3
(%i7) transpose(ma);
                            [ - 1  - 1   0    0  ]
                            [                    ]
(%o7)                       [  0   - 1   0   - 1 ]
                            [                    ]
                            [  0    0   - 1   0  ]
(%i8) newma:addcol(ma,[x,y,z,t]);
                             [ - 1   0    0   x ]
                             [                  ]
                             [ - 1  - 1   0   y ]
(%o8)                        [                  ]
                             [  0    0   - 1  z ]
                             [                  ]
                             [  0   - 1   0   t ]
(%i9) determinant:(ma);
                               [ - 1   0    0  ]
                               [               ]
                               [ - 1  - 1   0  ]
(%o9)                          [               ]
                               [  0    0   - 1 ]
                               [               ]
                               [  0   - 1   0  ]
(%i10) 
Run Example
eq1:x:[lambda+alpha+beta];
(%o1)                       [lambda + beta + alpha]
(%i2) eq2:y:[lambda-alpha+3,beta];
(%o2)                     [lambda - alpha + 3, beta]
(%i3) eq3:z:[lambda+2,alpha];
(%o3)                         [lambda + 2, alpha]
(%i4) eq4:t:[2,lambda+3,alpha+beta];
(%o4)                    [2, lambda + 3, beta + alpha]
(%i5) n:matrizasociada:coefmatrix([eq1,eq2,eq3,eq4],[lambda,alpha,beta]);
                                  [ 0  0  0 ]
                                  [         ]
                                  [ 0  0  0 ]
(%o5)                             [         ]
                                  [ 0  0  0 ]
                                  [         ]
                                  [ 0  0  0 ]
(%i6) 
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) m:matrizasociada:coefmatrix([eq1,eq2,eq3,eq4],[lambda,alfa,beta]);
                               [ - 1  - 1  - 1 ]
                               [               ]
                               [ - 1   1   - 3 ]
(%o5)                          [               ]
                               [ - 1  - 2   0  ]
                               [               ]
                               [ - 2  - 3  - 1 ]
(%i6) rank(m);
(%o6)                                  2
(%i7) transpose(m);
                            [ - 1  - 1  - 1  - 2 ]
                            [                    ]
(%o7)                       [ - 1   1   - 2  - 3 ]
                            [                    ]
                            [ - 1  - 3   0   - 1 ]
(%i8) n:addcol(matrizasociada,[x,y,z,t]);
                             [ - 1  - 1  - 1  x ]
                             [                  ]
                             [ - 1   1   - 3  y ]
(%o8)                        [                  ]
                             [ - 1  - 2   0   z ]
                             [                  ]
                             [ - 2  - 3  - 1  t ]
(%i9) determinant(n);
(%o9)              - 3 (3 z - 2 t) + 3 (2 z - t) + 3 z - 3 t
(%i10) 
[addcol,beta,coefmatrix,determinant,echelon,gamma,lambda,rank,row] [addcol,beta,coefmatrix,determinant,echelon,linsolve,rank,transpose] [addcol,beta,coefmatrix,determinant,echelon,rank,row,transpose] [addcol,beta,coefmatrix,determinant,echelon,rank,row] [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,echelon,gamma,lambda,matrix,rank,row,transpose] [addcol,coefmatrix,determinant,echelon,gamma,lambda,rank,row] [addcol,coefmatrix,determinant,echelon,gamma,lambda,rank,transpose] [addcol,coefmatrix,determinant,gamma,lambda,rank,transpose] [addcol,coefmatrix,determinant,lambda] [addcol,coefmatrix,determinant,rank,transpose] [addcol,coefmatrix,gamma,lambda,rank,transpose] [addcol,coefmatrix,lambda] [assume,coeff,coefmatrix,determinant,diff,expand,integrate,phi,sin,solve] [assume,coeff,coefmatrix,determinant,diff,integrate,phi,sin,solve] [augcoefmatrix,coefmatrix,col,load,matrix,simpsum,sum] [beta,coefmatrix,determinant,kill,linsolve] [beta,coefmatrix,determinant,kill] [beta,coefmatrix,echelon,rank,row,transpose] [beta,coefmatrix,echelon,rank,row] [beta,coefmatrix,echelon,rank,transpose] [beta,coefmatrix,echelon,rank] [beta,coefmatrix,kill,linsolve,rank] [beta,coefmatrix,kill,rank] [beta,coefmatrix,lambda] [beta,coefmatrix,rank,transpose] [beta,coefmatrix,rank] [beta,coefmatrix] [coefmatrix,determinant,echelon,kill,lambda,rank] [coefmatrix,determinant,linsolve] [coefmatrix,determinant] [coefmatrix,echelon,rank] [coefmatrix,echelon] [coefmatrix,eliminate,length,makelist,rank,triangularize,unique] [coefmatrix,eliminate,length,makelist,rank,triangularize] [coefmatrix,gamma,lambda,rank,transpose] [coefmatrix,gamma,lambda,rank] [coefmatrix,gamma,lambda] [coefmatrix,invert,kill,matrix,transpose] [coefmatrix,invert] [coefmatrix,lambda] [coefmatrix,length,makelist,triangularize] [coefmatrix,rank] [coefmatrix]

Related Help

Help for Coefmatrix