1. Verify that A is diagonalizable by finding P-¹AP, and (b) use the result of part (a) and Theorem 7.4 to find the eigenvalues of A. A ' [-¦ -[4-89] 2. Find (if possible) a nonsingular matrix P such that P-1AP is diagonal. Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. 3 A -3 -4 2-3 9 2 5 3. show that the matrix is not diagonalizable. 1-2 0 1 4 0 2