(1 point) let a be a 3×3 diagonalizable matrix whose eigenvalues are λ1=−2, λ2=2, and λ3=4. if v1=⎡⎣⎢100⎤⎦⎥,v2=⎡⎣⎢110⎤⎦⎥,v3=⎡⎣⎢011 ⎤⎦⎥ are eigenvectors of a corresponding to λ1, λ2, and λ3, respectively, then factor a into a product xdx−1 with d diagonal, and use this factorization to find a5. a5= ⎡⎣ ⎤⎦