1 . 已知矩阵
,
,则矩阵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7641b4223fb77a9a712ff9b3ec55bc.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3e738f9c413a0b1e3de7479b8b244d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249b9b24f590c7dd1de8fd77cb8d5309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7641b4223fb77a9a712ff9b3ec55bc.png)
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2020-04-24更新
|
81次组卷
|
2卷引用:江苏省徐州市2018-2019学年高二下学期期末理科数学试题
2 . (1)已知矩阵
,矩阵
的逆矩阵
,求矩阵
.
(2)已知矩阵
的一个特征值为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1d0410e84d68d63e459ddd38e99904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b20490758703d7d98d03c7196c0955e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)已知矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bfa8cb201dda40c9cb5dd949e8359c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16fc7ee0ddf5893ea5b87652889c0f9.png)
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名校
3 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2529bbe0a807b878a34b3deb435edd0.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f461795a1b2155ed2fe724dbf4ec6ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2529bbe0a807b878a34b3deb435edd0.png)
您最近一年使用:0次
4 . (1)已知可逆矩阵
的逆矩阵为
,求
的特征值.
(2)变换
是逆时针旋转
的旋转变换,对应的变换矩阵是
:变换
对应用的变换矩阵是
,求函数
的图象依次在
,
变换的作用下所得曲线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2557bae6398fe6459b1fe424e8bc4392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f91cab85fcb55eca98e74036d077f082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
(2)变换
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f970e018e92a3b5fc24b138ec84a512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
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2019-09-18更新
|
202次组卷
|
2卷引用:江苏省天一中学2018-2019学年高二(强化班)下学期期末考试数学试题
5 . 已知矩阵
对应的变换将点
变换成
.
(1)求矩阵
的逆矩阵
;
(2)求矩阵
的特征向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f067e864f45017e81acd12bc50b2991d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9155c035829f22ae89aa06ba34a22ee7.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5281a7e4f6d37e698366c83fa38d7b6a.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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6 . 已知
,
R,矩阵
的两个特征向量
,
.
(1)求矩阵
的逆矩阵
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1f5facca1d0db44613d7c690bc90aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf15e7b45fd5ad39cd976b9925079b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f235abc72c85a9bf8bffdeb4f7249f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aabdbb12c1cf332faab488e26ac7c139.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/847c5221f9cde74db40d9f74e67c740c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5681e7b1973df455c89cc8662b353b49.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f02cd64835a82bed10d94f4da0a3118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ed6a8d1d0479db2b5b7474eb060016.png)
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7 . 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)
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8 . 矩阵
的逆矩阵
为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb040b412bba24b11bd9fb989dae047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
您最近一年使用:0次
2019-07-11更新
|
116次组卷
|
2卷引用:江苏省无锡市普通高中2018-2019学年高二下学期期末数学(理)试题
9 . 已知矩阵
,矩阵B的逆矩阵
.
(1)求矩阵A的特征值及矩阵B.
(2)若先对曲线
实施矩阵A对应的变换,再作矩阵B对应的变换,试用一个矩阵来表示这两次变换,并求变换后的结果.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27808e342b2864b11b838ba7f95b632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08876f55ffc5c720564e8e0cba17ce66.png)
(1)求矩阵A的特征值及矩阵B.
(2)若先对曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
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名校
10 . 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)
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