矩阵 $\left(\begin{array}{cc}1 & 1 \\ -1 & 1\end{array}\right)^{101}=$ ________ , 行列式 $\operatorname{det}\left(\begin{array}{ccc}3+a_1 b_1 & a_1 b_2 & a_1 b_3 \\ a_2 b_1 & 3+a_2 b_2 & a_2 b_3 \\ a_3 b_1 & a_3 b_2 & 3+a_3 b_3\end{array}\right)=$ ________