1 . 已知矩阵
,矩阵B的逆矩阵
.若矩阵
,求矩阵M.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fedbb05181d41e54e40a67c4bc5cae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4865c371e15fae51a9e613ecdb28a7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8614bb15fed01320bccf4d557b13fd9.png)
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2 . 已知矩阵
,对应的变换把点
变成点
.
(1)求a,b的特征值;
(2)求矩阵M的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c256127e5b93a9716e9a6ba36602372e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad20e2bc6576fc461419f8f138d26e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de468be0b50fe534b05e88db0d4fb88.png)
(1)求a,b的特征值;
(2)求矩阵M的特征值.
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2020-05-15更新
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3卷引用:2020届江苏省南通市高三下学期5月模拟考试数学试题
3 . 在平面直角坐标系xOy中,点
在矩阵
对应的变换作用下得到点
,求矩阵M的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1caf8ef7811bc801b0196aa07a037a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286ab2d6635bad34993edf96f5fbd079.png)
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4 . 已知矩阵
的特征值为3和
,对应的一个特征向量分别为
,
.
(1)求矩阵M;
(2)设矩阵M的逆矩阵为
,
,
,且
,求实数m,n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a82c28d0c87902fde84e3c6acbefa9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcac75bd925aec6c58d030b45aa4ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cae0ef24ff55048fa0795a3f3154055.png)
(1)求矩阵M;
(2)设矩阵M的逆矩阵为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5281a7e4f6d37e698366c83fa38d7b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d8b59265c030115690d54a1960c4194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e2d4d55fd0f6034d8bee25773a8946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5acf2eb18b4e3209f7bb2d1b84ccf9.png)
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5 . 已知矩阵
,
的逆矩阵
.
(1)求
、
的值;
(2)若点
在矩阵
对应的变换作用下得到点
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca2c24cb94552fb262bbc2f603d1947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/197b3125273fa5a25f3bbe5f9d96099c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136b2d328b319d30721bdc4903cd9ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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6 . 换
,试写出变换T对应的矩阵A,并求出其逆矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff6c3c8a4e59b1e6c47b6daebccbb97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
您最近一年使用:0次
7 . 在平面直角坐标系xOy中,点
在矩阵
对应的变换作用下得到点
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f42a661c0cc730771c94877d2ff240c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ce1d4b580122664aeaa4f1281dcee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d2403b2b9d2357df415843461d38b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ae70c8fa8df99b898a30aa7738f2b27.png)
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2020-05-13更新
|
113次组卷
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5卷引用:2020届江苏省高三高考全真模拟(九)数学试题
8 . 已知矩阵
,
,且
.
(1)求矩阵
;
(2)直线
在矩阵
对应的变换作用下变为直线
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35157060228e8d151bce2d0a7c77fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2552d1efaab9607a51abd481f5a64f24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05d5cdc99b863f26c030f8253ae8de4.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/710c58628d4a3990ac8347dfa2d2ca7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2020-05-13更新
|
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2卷引用:2020届江苏省扬州市高三下学期5月调研测试数学试题
9 . 行列式
的值等于____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f35f370623bd392b4bc5fd57f33f84b.png)
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名校
10 . 若矩阵
是线性方程组
的系数矩阵,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f48f1fa606d4be1ca3f48e562030e4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f85d78aedf5469294ff9dce1534297.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-05-13更新
|
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4卷引用:2020届上海市崇明区高三二模数学试题
2020届上海市崇明区高三二模数学试题上海市五爱高级中学2021届高三上学期期中数学试题(已下线)课时28 矩阵的概念及运算-2022年高考数学一轮复习小题多维练(上海专用)上海市南汇中学2022届高三下学期3月月考数学试题