Eigenvector mystery

10182020, 09:31 PM
(This post was last modified: 10182020 09:40 PM by John Keith.)
Post: #1




Eigenvector mystery
I was just looking at the documentation for the Julia programming language today and I noticed something interesting.
In the second gray box on this page there is an example showing the calculation of eigenvectors and eigenvalues. I tried the same matrix on the HP 50 in approximate mode and the result for the eigenvectors was substantially different. Wondering which set of eigenvectors was correct, I checked with Wolfram Alpha, which gave a third, completely different result! Going back to the 50g I tried the same matrix in exact mode, and obtained yet another result different from the previous 3. The eigenvalues in all 4 cases were the same however. The matrix is Code:
Is this matrix so illconditioned that its eigenvectors can't be computed accurately? It doesn't seem so, its determinant is 26. 

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