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?