Normalized Eigenvectors Maxima

Question

I wa swondering if anyone knows of any function in Maxima to find the normalized eigen vectors of a 21x21 matrix?

I am using the function dgeev but I do not believe these eigenvectors are normalized.

I appreciate Any thoughts, Ben

Answer 1

The eigenvectors computed by dgeev are indeed normalized to have Euclidean norm = 1. Keep in mind that to compute the norm of a complex vector (let's call it v), you want

sqrt (ctranspose (v) . v)

Here ctranspose is the conjugate transpose.

Answer 2

ueivectors normalizes the eigenvectors but apparently not the eignevlaues