Dada a diagonalização da matriz A na forma P^{-1} A P=D, explicite os autovalores de A e bases para os correspondentes autoespaços:
(a) \left(\begin{array}{rr}2 & -1 \\\\ -1 & 1\end{array}\right)\left(\begin{array}{rr}5 & -1 \\\\ 2 & 2\end{array}\right)\left(\begin{array}{ll}1 & 1 \\\\ 1 & 2\end{array}\right)=\left(\begin{array}{ll}4 & 0 \\\\ 0 & 3\end{array}\right).