Find the spectral decomposition

Find the eigenvalue decomposition with orthonormal eigenvectors (the spectral decomposition) of the matrix: 0 0-1 A= 0 0 0 -10 02.22 Let Co A = (a) Find the spectral decomposition of A as in (2.109). (b) Find the spectral decomposition of A and show that the diagonal matrix of eigenvalues is equal to the square of the matrix D found in part (a), thus illustrating (2.115). (c) Find the spectral decomposition of A and show that the diagonal ma- trix of eigenvalues is equal to the inverse of the matrix D found in part (a), thus illustrating (2.116).\f