Pleаse аnswer questiоns 1 аnd 2 оn page 1 and questiоns 3 and 4 on page 2. Let A denote the 3x3 matrix with 2 0 0 as the first row, -1 4 0 as the second row and -3 6 2 as the third row. 1. Find all the eigenvalues of A. (9 points) 2. Find the corresponding eigenvectors. (9 points) 3. Can A be diagonalized? (4 points) 4. If the answer to 3 is yes, find a matrix X and a diagonal matrix D so that X^{-1}*A*X is a diagonal matrix D. (8 points)