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eigenvalues-matrix

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

eigenvalues(M);

Calculate

eigenvalues-eigenvectors-invert-matrix

A:matrix([-19/6,22/6]...

eigenvalues(A);

eigenvectors(A);

Calculate

eigenvalues-matrix-transpose

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

T:transpose(L);

A:L.T;

Calculate

eigenvalues-matrix-sqrt

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

eigenvalues(A);

a:4;

Calculate

eigenvalues-invert-matrix

FF : matrix( [0, bb],...

VV : matrix( [ss+mm,0...

eigenvalues(FF.invert...

Calculate

eigenvalues-eigenvectors-invert-matrix

A:matrix([-19/6,22/6]...

eigenvectors(A);

eigenvalues(A);

Calculate

eigenvalues-ev-hessian-nouns

f:(x+y)^2+(2*y+z)^2-(...

grad(f);

ev(express(grad(f)),n...

Calculate

eigenvalues-matrix

eigenvalues(matrix([1...

Calculate

eigenvalues-hessian

eigenvalues(hessian((...

Calculate

eigenvalues-matrix

m: matrix([-3*s1-2*s2...

ws: eigenvalues(m)[1];

Calculate

eigenvalues

Run Example
(%i1)A: matrix([16165,-5444,-5444 ],[-5444,16165,-5444],[-5444,-5444,17815]);
                          [ 16165   - 5444  - 5444 ]
                          [                        ]
(%o1)                     [ - 5444  16165   - 5444 ]
                          [                        ]
                          [ - 5444  - 5444  17815  ]
(%i2) eigenvalues(A);
(%o2) [[14268 - sqrt(71855481), sqrt(71855481) + 14268, 21609], [1, 1, 1]]
(%i3) 
Run Example
C:matrix([1,3],[-1,1]);
                                  [  1   3 ]
(%o1)                             [        ]
                                  [ - 1  1 ]
(%i2) I:matrix([1,0],[0,1]);
                                   [ 1  0 ]
(%o2)                              [      ]
                                   [ 0  1 ]
(%i3) eigenvalues(C);
(%o3)             [[1 - sqrt(3) %i, sqrt(3) %i + 1], [1, 1]]
(%i4) determinant(C-e*I);
                                        2
(%o4)                            (1 - e)  + 3
(%i5) solve(%=0);

solve: variable list is empty, continuing anyway.
(%o5)                                 []
(%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) 
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