Eigenvector result is unusual

[Helge Gabert]

I don't think the math is wrong.

The eigenvalues of lambda1 and lambda2 are correct (5, and -1), and this is also what Wolfram alpha shows.

The eigenvectors are [.44..., .89...], and multiplied by a suitable scaling factor equals [1,2], and ditto for the other eigenvector [-.74..., .74], which, again, multiplied with a suitable scaling factor equals [-1,1] - - again in agreement with Wolfram alpha. I believe you read the vectors the wrong way - - horizontally instead of vertically.

But we can ask - - why doesn't the Prime normalize the eigenvectors?