Let Z have p orthonormal columns and let AZ = ZR, where R is upper triangular. For p = 2, show that R22 is an eigenvalue and find its eigenvector in terms of the first two columns of Z. For general p,...

Let Z have p orthonormal columns and let AZ = ZR, where R is upper triangular. For p = 2, show that R22 is an eigenvalue and find its eigenvector in terms of the first two columns of Z. For general p, find the eigenvectors corresponding to the diagonal elements of R that are eigenvalues of A.