填空题 (共 3 题 ),请把答案直接填写在答题纸上
设 $A =\left(\begin{array}{ccc}1 & -1 & 1 \\ 1 & 1 & -1\end{array}\right), B =\left(\begin{array}{ccc}1 & 2 & 3 \\ -1 & -2 & 4\end{array}\right)$ .则 $A +2 B =$
若矩阵 $A =\left(\begin{array}{ccc}1 & -4 & 2 \\ -1 & 4 & -2\end{array}\right), B =\left(\begin{array}{cc}1 & 2 \\ -1 & 3 \\ 5 & -2\end{array}\right)$ ,则 $A B$ 的第 2 行第 1 列的元素为
已知 $A ^2=\left(\begin{array}{lll}2 & 1 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 4\end{array}\right), A ^5=\left(\begin{array}{ccc}8 & 5 & 0 \\ 5 & 3 & 0 \\ 0 & 0 & -32\end{array}\right)$ ,那么矩阵 $A =$ $\qquad$ .