Problem 1: Consider the following Matrix A: A = [222] a) Find the Eigenvalues of A. Show all your work by hand b) Find the Eigenvectors of A. Show all your work by hand c) Normalize the Eigenvectors. Show all your work by hand d) Apply Diagonalization to verify Eigenvalues. Show all your work by hand e) Use MATLAB to verify your Eigenvalues, Eigenvectors, and Diagonalization Matrix. Follow the procedures in Lab. Include results.