Exercise 13 5 5 Verify the following diagonalizations starting from the characteristic polynomial solving for the eigenspaces and then inverting the matrix of eigenvectors A 1 B 22 1 0 1 0 2 1 2 X X 0 1 0 0 1 3 1 1 1 2 1 C 2 4 2 3 6 3 1 YA Y ZACZ 1 1 3 2 1 2 5 3 673 6 96 0 0 00 1 1 0 1 1 1 3 2 3 1 3 2 1 2 1 3 1 1 2 0 1 1 0 2 00 0 10 0 02 200 000 000 12 5 3 9 8 0 3 3 6 3 6 2 2 3 5 2 0 3