Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I understand one of the motivations for eigenvalues/vectors is when you need

to compute A^k * x. So we like to write,

A = C*D*C^-1 and then A^k = C * D^k * C^-1, and D^k is trivial to compute.

My professor said C^-1 and C can be though of as change of coordinate

matrices. But from which basis? For example, C^-1 would take me from

*some* basis to the basis of eigenvectors. But what is this *some* basis?

Is it assumed that everything is coordinitized relative to some basis B in

R^n. And then I want to change to the basis of eigenvectors B'?

**Physics Forums - The Fusion of Science and Community**

# Motivations for eigenvalues/vectors

Have something to add?

- Similar discussions for: Motivations for eigenvalues/vectors

Loading...

**Physics Forums - The Fusion of Science and Community**