Given the following matrix A = 1 2 24 3 6 (2) (a) Find the eigenvalues of AT A and also of AAT. For both matrices find a complete set of orthonormal eigenvectors (b) If you apply the Gram-Schmidt process (orthonormalization) to the columns of this matrix A, what is the resulting output? (c) If A is any m by n matrix with m > n, why is AAT not positive definite. Is ATA always positive definite? (If not, what is the test on A?).