1 . 若A和B满足
(E为单位矩阵)则称A和B互为逆矩阵.
(1)证明
是
的逆矩阵;
(2)求
的逆矩阵.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a42ea87f6ee18642425d292566966569.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/103129361fa5ed918a22587e0d3b6f50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a823024dbafc025391ef78e8a94183.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0777f5504877277aae0b8f5326c9a2a3.png)
您最近一年使用:0次
名校
2 . 已知矩阵
的一个特征值
所对应的一个特征向量
,求矩阵
的逆矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d6dc1973f0395f209afd25b2d8b860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfec4233214c3a729c843dee0d186db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e8fb3f5ac1c161e5d53fe6f0996cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
您最近一年使用:0次
名校
3 . 已知矩阵
,则矩阵
的逆矩阵为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b049d08ca65a3163ec5b8667a765a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2018-06-30更新
|
150次组卷
|
3卷引用:江苏省涟水中学2018-2019学年高二5月月考数学(理)试题
4 . 已知
,
,且二阶矩阵
满足
.
(1)求
;
(2)求矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45fde6a55f8208dfd9b1f87b64a109a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60da28fefe7143ac36bc182e442deab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235c32929387d05f89c2bd960686c91a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d7c1beea03e1dd6f5a0e12ea2b7585.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次