Suppose A Vector V Is Nonzero Column Vector A Is An N By N Matrix Made By V V Transpose Can You Help Me How To

5. Suppose v E Rquot; is a nonzero column vector. Let A be the n x n matrix va. (a) Show that v is an eigenveotor of A corresponding to eigenvalue A = ||v||2.
(b) Show that 0 is an eigenvalue of multiplicity n — 1. (Hint: What is rank A?) Math