1 . 已知矩阵
,A的逆矩阵
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/312f71b1bf968ca235e29e66b7f1e08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8a223672608a44cc54be309747ac00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a335fc7c2c46946f0bf908c78bcc46fa.png)
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2 . 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
|
5卷引用:2017届江苏如东高级中学等四校高三12月联考数学试卷
3 . 已知矩阵
,列向量
,
,且
.
(1)求矩阵
的逆矩阵
;
(2)求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1543491ed4c55728e1bc2af73a6ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad77f09909a01ee37d23d4f4dc1bcad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3653fd7a940bc691e60151a6c98722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6d157735b1e5b220fc474ed14a664.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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4 . 已知矩阵
(c,d为实数).若矩阵A属于特征值2,3的一个特征向量分别为
,
,求矩阵A的逆矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6cf741239e355a836fe949076dac2a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96e53014f1f2acf12d1e3d98eed65b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcac75bd925aec6c58d030b45aa4ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
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名校
5 . 已知矩阵
,向量
.求向量
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c158ff44155e18b022b851c6aea6b598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ec9538b8a3bbc7c2ee35828e1e4854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fd976a35474c8329558ecb6a00f691.png)
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2020-03-26更新
|
77次组卷
|
2卷引用:2020届江苏省南通市如皋中学高三下学期3月线上模拟考试数学试题
名校
6 . 已知矩阵
的逆矩阵
.求曲线
在矩阵
所对应的线性变换作用下所得到的曲线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef582a6b9a5accde06a0af8f84495f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377a2333ff8c63cbdb20b882d6d5a7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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7 . 已知矩阵
的一个特征值为4,求矩阵A的逆矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8f53d0909c9e76968f7322c6be1dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
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2020-02-28更新
|
222次组卷
|
7卷引用:江苏省南通市通州区2019-2020学年高三第一次调研抽测数学试题1
8 . 已知矩阵
,其中
、
,点
在矩阵的变换下得到的点
.
(1)求实数
、
的值;
(2)求矩阵
的逆矩阵.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58a98d19c07ee41d4814d2b57f58e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2007972af3341f27fbc32ce62dfce5e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ad0f94243a1600321c4b2b27c307de.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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2019-12-27更新
|
85次组卷
|
2卷引用:2020届江苏省南通市四校联盟高三数学模拟试题
9 . 设点
在矩阵
对应变换作用下得到点
.
(1)求矩阵
;
(2)若直线
在矩阵
对应变换作用下得到直线
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c928e1c0142cdc41024dbfc8187ec37.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8799edb41b09f2c0dbbe725c74e66184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
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10 . 已知线性变换
是按逆时针方向旋转90°的旋转变换,其对应的矩阵为
,线性变换
:
对应的矩阵为
.
(1)写出矩阵
;
(2)求直线
先经过
变换,再经过
变换后的曲线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6799f4e76bc51a76e1f26508c1ec7e77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)写出矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3aa3adcb154f6144903d456289ecb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
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