Let A be a matrix corresponding to projection in 2 dimensions onto the line generated by a vector v.

A. The vector v is an eigenvector for A corresponding to the eigenvalue lambda = −1.

B. Any vector w perpendicular to v is an eigenvector for A corresponding to the eigenvalue lambda = −1.

C. lambda = 1 is an eigenvalue for A

D. The vector v is an eigenvector for A corresponding to the eigenvalue lambda = 1.

E. lambda = 0 is an eigenvalue for A

F. None of the above

I know how to find eigenvalues and eigenvectors, but I don't really know what they correspond to. It's so abstract, and I'm unsure of how to see this question.

Can anyone point me in the right direction?

Thanks.