diff --git a/content/mathematics/公式大全.md b/content/mathematics/公式大全.md index 7e6f8c4..d8a0ca0 100644 --- a/content/mathematics/公式大全.md +++ b/content/mathematics/公式大全.md @@ -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 --- ## 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) ##### 相似