补充做题总结
continuous-integration/drone/push Build is passing Details

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InkSoul 2023-08-21 17:39:14 +08:00
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@ -326,6 +326,7 @@ $
* $A \cdot A* = A* \cdot A = |A| \cdot E$
* $|A| = \prod_{i=1}^n\lambda_i(\lambda_1,\lambda_2,\cdots,\lambda_n是A的全部特征值)$
* $|A|\not ={0}\iff A$为可逆矩阵$\iff$A为满秩矩阵即$r(A) = n$
* 二维矩阵的伴随矩阵为:主对角线互换,副对角线变号
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## 矩阵
@ -900,6 +901,7 @@ $$
* $A\cong B$则$B \cong A$
* $A\cong B,B \cong C 则 A\cong C$
* 同型矩阵A与B等价$\iff r(A)=R(B)$
* 矩阵等价问题通常考虑化为阶梯型矩阵后r(A)=R(B)
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