线代
第二章 矩阵 (flowus.cn)
知识点
几种重要矩阵
image-20230815152622291
矩阵转置
image-20230815152908756
逆矩阵（只有方阵可逆）
image-20230815150746406
逆矩阵计算
image-20230815151038824
伴随矩阵定义（方阵才有伴随矩阵）
image-20230815151338033
image-20230815151418314
伴随矩阵性质
image-20230815151442362
初等变换
image-20230815151638798
初等矩阵
image-20230815151740339
初等矩阵性质
image-20230815151923229
初等矩阵的逆、转置、伴随
image-20230815163659401
初等变换求逆矩阵
image-20230815152054862
矩阵分块
image-20230815153046328
image-20230815154852936
等价矩阵和矩阵的等价标准形
image-20230815152149383
矩阵的秩
image-20230815152351624
题型
矩阵的幂
主对角线为0的上三角矩阵 B，B^n = O (n>=3)
image-20230815153417466
image-20230815153609611
求逆
1、伴随矩阵求逆
image-20230815154344173
2、初等变换求逆
image-20230815154529468
3、分块矩阵求逆
a、分块对角
image-20230815154747608
image-20230815154810020
b、分块三角
image-20230815155036677
伴随矩阵
image-20230815155221470
image-20230815155314964
初等矩阵与初等变换
image-20230815155453728
矩阵的秩
image-20230815155608359
矩阵等价
image-20230815160004244
image-20230815160144047
image-20230815160304388
