maxima-online.org
Online Algebra Calculator
Many of users do not use powerful Maxima computer algebra system for systematic work, but for ad hoc algebraic calculations – equations, functions, matrixes, etc. only. To do this job, it is not useful to download the whole application from a web site.
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Related
eigenvalues-eigenvectors-load-matrix-sqrt-transpose
K:matrix([-2*k,k,0.0]...
load(eigen);
eigenvalues(K);
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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