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eigenvectornormalizemaxima

Normalized Eigenvectors Maxima

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

Solution

  • 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.