(6 marks) Let A be a 6 X 6 matrix with three eigenvalues O, l, 2. Suppose that the dimensions of the eigenspaces E0 and E1 are 2 and 3, respectively. (a) (1 mark) Is A invertible? You must justify your answer. (b) (2 mark) Find the characteristic polynomial of A. You must justify your answer. (c) (3 marks) Prove that A is diagonalizable. A V