Find the characteristic equation and eigenvalues of the matrix and a basis for each of the corresponding eigenspaces. 4 = 0 3 - 2 the characteristic equation the eigenvalues (Enter your answers from smallest to largest.) (21, 72, 23) = ( a basis for each of the corresponding eigenspaces By B 2 B 3 For the matrix A, use the basis of the eigenspaces to find a nonsingular matrix P such that PTAP is diagonal. P Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal. P- AP =