1 . 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)
您最近一年使用:0次
2 . 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)
您最近一年使用:0次
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
3 . 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)
您最近一年使用:0次
4 . 已知矩阵
,
,且
.
(1)求实数
、
的值;
(2)求矩阵
的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc1773057af50742a11c13538702bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9542192476d384dc71549adae54b0135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8ea27342e250877fdef55f6bc3cf10.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2019-09-19更新
|
63次组卷
|
2卷引用:江苏省南通市海安高级中学2019-2020学年高三上学期9月月考数学试题
5 . 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)
您最近一年使用:0次
6 . 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)
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)
您最近一年使用:0次
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
名校
8 . 在平面直角坐标系
中,先对曲线
作矩阵
所对应的变换,再将所得曲线作矩阵
所对的变换.若连续实施两次变换所对应的矩阵为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81af7987b2ee736b3f9bfb82f7f4dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a087861eebda79aaab76f210faee76b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1684c8502e60b720f564a8340db532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da174d0157c6e2fe777e46e00e40b33.png)
您最近一年使用:0次
2019-05-05更新
|
358次组卷
|
3卷引用:【全国百强校】江苏省海安高级中学2019届高三第二学期四月模拟考试数学试题
9 . 设是矩阵
的一个特征向量.
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
10 . 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