Let A = \boldsymbol{A} = \left(\begin{array}{ccc} -3 & 2 & -2 \ 2 & -3 & 4 \ 4 & -5 & 6 \end{array}\right)
a. Compute the eigenvalues of A
b. For each eigenvalue λ of A, compute a basis for eigenspace E_λ
c. Prove that A is not diagonalizable