Hi Can I get help on this question

(c) Show that if A A is invertible, then A = ( A A) A. 5. (adapted from II.2 2) Let A be the pseudoinverse of A. (a) Why do A and At have the same rank? (b) If A is square, do A and A* have the same eigenvectors? Hint: check whether an eigenvector of A is also an eigenvector of A+, and vice versa. (c) If A is square, and eigenvalues of A are >,, what are the eigenvalues of At