Let ???? be a 3×3 diagonalizable matrix whose eigenvalues are ????1=1, ????2=3, and ????3=−4. If ????1=[100],????2=[110],????3=[011] are eigenvectors of ???? corresponding to ????1, ????2, and ????3, respectively, then factor ???? into a product ????????????−1 with ???? diagonal, and use this factorization to find ????5.