3. Given the matrix 4 0 N A = 2 3 4 Co O 0 diagonalize A. The eigenvalues are 1 = 3, 4. Then use your result to compute As. 4. A 4 x 4 matrix A has three eigenvalues. One eigenspace is one-dimensional, and one of the other eigenspaces is two-dimensional. Is it possible that A is not diagonalizable? Justify your answer. 5. Solve the initial value problem x'(t) = Ax(t) for t 2 0 with x(0) = (3, 2), where A = \\- 2 -5 1 4