Sponsored links: Algebra eBooks
 

Related

eigenvectors-matrix

A:matrix([-19/6,11/3]...

eigenvectors(A);

T:matrix([-5,1],[1/2,...

Calculate

eigenvectors-invert-matrix

A:matrix([-19/6,11/3]...

eigenvectors(A);

T:matrix([-5,1],[1/2,...

Calculate

eigenvectors-load-matrix

load("eigen");

A:matrix([h,-1,0],[y^...

eigenvectors(A);

Calculate

eigenvectors-load-matrix

load("diag");

a:matrix([1,2,1],[0,1...

eigenvectors(a);

Calculate

eigenvectors-matrix

A:matrix([-19/6,11/3]...

eigenvectors(A);

T:matrix([-5,1],[1/2,...

Calculate

eigenvectors-matrix

A:matrix([-19/6,11/3]...

eigenvectors(A);

T:matrix([-5,1],[1/2,...

Calculate

eigenvectors-matrix

t0:matrix([1,1/4,0],[...

eigenvectors(t0);

v:matrix([1],[-2],[1]);

Calculate

eigenvectors-invert-matrix-transpose

M32:matrix([m11,m12],...

P3:M32.invert(transpo...

[vals,vecs] = eigenve...

Calculate

eigenvectors-matrix

t0:matrix([1,1/4,0],[...

eigenvectors(t0);

v:matrix([1,-2,1]);

Calculate

eigenvectors-matrix-sqrt

A:matrix([1,2],[4,5]);

eigenvectors(A);

D:matrix([3+2*sqrt(3)...

Calculate

eigenvectors

Run Example
(%i1)I: matrix([1,0],[0,1]);
                                   [ 1  0 ]
(%o1)                              [      ]
                                   [ 0  1 ]
(%i2) S_z: matrix([1,0],[0,-1]);
                                  [ 1   0  ]
(%o2)                             [        ]
                                  [ 0  - 1 ]
(%i3) S_x: matrix([0,1],[1,0]);
                                   [ 0  1 ]
(%o3)                              [      ]
                                   [ 1  0 ]
(%i4) S_y: matrix([0,-%i],[%i,0]);
                                 [ 0   - %i ]
(%o4)                            [          ]
                                 [ %i   0   ]
(%i5) [vals,vecs]:eigenvectors(kronecker_product(S_x,S_y));
(%o5) [[[- 1, 1], [2, 2]], [[[1, 0, 0, - %i], [0, 1, %i, 0]], 
                                             [[1, 0, 0, %i], [0, 1, - %i, 0]]]]
(%i6) 
Run Example
A:matrix([1,2],[2,1]);
                                   [ 1  2 ]
(%o1)                              [      ]
                                   [ 2  1 ]
(%i2) eigenvalues(A);
(%o2)                         [[3, - 1], [1, 1]]
(%i3) eigenvectors(A);
(%o3)            [[[3, - 1], [1, 1]], [[[1, 1]], [[1, - 1]]]]
(%i4) 
Run Example
e:matrix([sqrt(3)/3,sqrt(3)/3,sqrt(3)/3]);
                         [    1        1        1    ]
(%o1)                    [ -------  -------  ------- ]
                         [ sqrt(3)  sqrt(3)  sqrt(3) ]
(%i2) A:ident(3)-2/3*transpose(e).e;
                               [  7     2    2 ]
                               [  -   - -  - - ]
                               [  9     9    9 ]
                               [               ]
                               [   2   7     2 ]
(%o2)                          [ - -   -   - - ]
                               [   9   9     9 ]
                               [               ]
                               [   2    2   7  ]
                               [ - -  - -   -  ]
                               [   9    9   9  ]
(%i3) eigenvectors(A);
            1
(%o3)    [[[-, 1], [1, 2]], [[[1, 1, 1]], [[1, 0, - 1], [0, 1, - 1]]]]
            3
(%i4) A.transpose(A);
                             [  19     8     8  ]
                             [  --   - --  - -- ]
                             [  27     27    27 ]
                             [                  ]
                             [   8    19     8  ]
(%o4)                        [ - --   --   - -- ]
                             [   27   27     27 ]
                             [                  ]
                             [   8     8    19  ]
                             [ - --  - --   --  ]
                             [   27    27   27  ]
(%i5) 
[addcol,col,define,diff,do,eigenvectors,exp,ident,invert,matrix,nullity,nullspace,ratsimp] [addcol,define,eigenvectors,exp,ident,integrate,invert,matrix,nullity,nullspace,ratsimp] [batch,charpoly,determinant,eigenvalues,eigenvectors,ident,invert,load,matrix] [bfloat,eigenvectors,fpprec,matrix] [bfloat,eigenvectors,load,matrix] [bfloat,eigenvectors,matrix] [charpoly,determinant,eigenvalues,eigenvectors,ident,invert,load,matrix] [charpoly,echelon,eigenvalues,eigenvectors,factor,matrix] [charpoly,echelon,eigenvectors,factor,matrix] [charpoly,eigenvalues,eigenvectors,factor,matrix,solve] [charpoly,eigenvalues,eigenvectors,matrix] [charpoly,eigenvectors,matrix,nullspace,rank] [charpoly,eigenvectors,matrix,ratsimp,solve] [charpoly,eigenvectors,matrix] [conjugate,cos,eigenvectors,factor,matrix,sin,transpose] [cos,eigenvectors,matrix,sin] [define,eigenvectors,exp,ident,matrix,nullity,nullspace] [determinant,draw,draw3d,eigenvalues,eigenvectors,expand,invert,load,matrix,transpose,true] [determinant,eigenvalues,eigenvectors,ev,ident,invert,kill,matrix,rank,submatrix,transpose] [determinant,eigenvalues,eigenvectors,ident,invert,matrix,rank,submatrix,transpose] [determinant,eigenvalues,eigenvectors,ident,load,matrix,ratsimp,solve,sqrt,transpose] [determinant,eigenvalues,eigenvectors,matrix] [determinant,eigenvectors,expand,hessian] [determinant,eigenvectors,matrix] [diag_matrix,eigenvectors,matrix,transpose] [eigenvalues,eigenvectors,float,floor,matrix] [eigenvalues,eigenvectors,float,matrix] [eigenvalues,eigenvectors,invert,matrix] [eigenvalues,eigenvectors,load,matrix,ratsimp,sqrt,transpose] [eigenvalues,eigenvectors,load,matrix,sqrt,transpose] [eigenvalues,eigenvectors,load,matrix,sqrt] [eigenvalues,eigenvectors,load,matrix] [eigenvalues,eigenvectors,matrix,permanent] [eigenvalues,eigenvectors,matrix] [eigenvectors,expand,hessian] [eigenvectors,float,matrix] [eigenvectors,hessian,load] [eigenvectors,ident,matrix,nullity,nullspace] [eigenvectors,ident,matrix,nullity] [eigenvectors,ident,matrix,sqrt,transpose] [eigenvectors,ident,matrix,transpose] [eigenvectors,invert,matrix,sqrt] [eigenvectors,invert,matrix,transpose] [eigenvectors,invert,matrix] [eigenvectors,is,matrix,ratsimp,sqrt,tex,transpose] [eigenvectors,load,matrix] [eigenvectors,matrix,sqrt] [eigenvectors,matrix,transpose] [eigenvectors,matrix,triangularize] [eigenvectors,matrix]

Related Help

Help for Eigenvectors