(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Without writing A, find the eigenvalue of A and describe the eigenspace.

T is the transformation on R2 that reflects points across some line through the origin.

3. The attempt at a solution

The eigenvalue could either be -1 or 1. I'm not sure how to figure out the eigenspace of each of these eigenvalues though. And, just to be clear, is the basis of the eigenspace composed of the eigenvectors?

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# Homework Help: Eigenspace of the transformation

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