vault backup: 2025-12-29 21:22:39

develop
Elwood 2 weeks ago
parent 15c2439b3e
commit 4e4e32d57d

@ -124,7 +124,7 @@ $\quad T^{-1} = \begin{pmatrix} 1 & 0 \\ -5 & 1 \end{pmatrix}$是坐标变换矩
8. 设2阶矩阵A=$\begin{bmatrix}3&-1\\-9&3\end{bmatrix}$n为正整数则$A^n=\underline{\quad\quad}$。
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解析:
先计算$A^2$
@ -143,7 +143,7 @@ $$= 6\begin{bmatrix}3&-1\\-9&3\end{bmatrix} = 6A$$
将A代入得
$$A^n = 6^{n-1}\begin{bmatrix}3&-1\\-9&3\end{bmatrix} $$
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9. 若向量组
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