diagonalize matrix

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jc-denton

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Feb 1, 2009, 6:51:23 AM2/1/09
to tinspire
I have a matrix and want to transform it into the principal axes
system. Then the eigenvalues are on the diagonals.. but how can I
figure out which eigenvalue is where on the diagonal, is there a
program for the tinspire which can do this in one step?

Nils

Nelson Sousa

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Feb 2, 2009, 2:30:03 PM2/2/09
to tins...@googlegroups.com

you can't.
the order in which you write down the eigen-values is arbitrary and all decompositions given by permutations of lines and columns give the same results. The only rule you must observe is that each eigen vector should be placed on the corresponding column of it's eigen value. So, if lambda1 is the first eigen value, it's eigenvector shouldbe placed on the first column of the decomposition.

Nelson
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