題組內容

7. Give the following matrix $\mathbf{C}$. $ \mathbf{C} = \begin{bmatrix} 3 & 2 \\ 4 & 1 \end{bmatrix} $

(c)(5%) Use the \( \mathbf{XDX}^{-1} \) factorization in (b) to compute \( \mathbf{C}^{100} \).