题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-90590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-66568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-24270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-61074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-76807.png)
(1)求矩阵M的逆矩阵M-1及λ1,λ2;
(2)对任意向量
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-88535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-74322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-88535.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060826-92205.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-90590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060826-10278.png)
又M
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-66568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-66568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-90590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-24270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-24270.png)
同理M
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-61074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-61074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-90590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-76807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-76807.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-88535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-74322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-66568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-61074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-88535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-66568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-61074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-66568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-61074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060826-72404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-66568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060825-61074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060826-92205.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060821-36771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060817-45690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060817-15203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060811-96212.png)
(1)求实数a、b的值;
(2)求A2的逆矩阵.
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060802-54454.png)
(1)求实数a的值;
(2)求矩阵A的特征值.
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060757-48042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108060758-77359.png)
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