1 . 设二阶矩阵
.
(1)求
;
(2)若曲线C在矩阵A对应的变换作用下得到曲线C:6x2-y2=1,求曲线C的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e12ce72dea3e08e90df1bdebfb1fbd5e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
(2)若曲线C在矩阵A对应的变换作用下得到曲线C:6x2-y2=1,求曲线C的方程.
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2 . 已知矩阵
,
.
(1)求矩阵AB;
(2)求矩阵AB的逆矩阵.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4adff4daf3ba65b8e850e425fd90239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e855f85792391a575dce73bc1f575597.png)
(1)求矩阵AB;
(2)求矩阵AB的逆矩阵.
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3 . 已知矩阵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d8c1a4077bee8d516b4964000582d6e.png)
(1)求矩阵
的逆矩阵;
(2)求该矩阵的特征值和特征向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d8c1a4077bee8d516b4964000582d6e.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)求该矩阵的特征值和特征向量.
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4 . 已知矩阵
,
,且
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
(1)求x,y的值;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f347267bd25c83130c38f6a646eddb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a192222d84cc647d4de37883844f956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2cd94eeffa55689e70ccc60b00d1db6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
(1)求x,y的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4d6049fcec086ea01589dc244ea770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dbf15ee6d518c001aa338fb3c1696f4.png)
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5 . 已知矩阵
,求矩阵
的逆矩阵
的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9736bd17c98edd2fa22286838e7ef51a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
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6 . 已知矩阵A的逆矩阵
,求点P(1,2)在矩阵A对应的变换作用下得到点Q的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed4cb0e9b9593df01b96811f3c8bbef.png)
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名校
7 . 已知矩阵
.
(1)求
的逆矩阵
;
(2)求圆
经过
变换后所得的曲线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4397108afca112fb223196971b2b5b5d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
(2)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385b72221d2efe6efc680d115f4e3683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
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2020-05-18更新
|
126次组卷
|
3卷引用:2020届江苏省宿迁市高三下学期5月联考数学试题
8 . 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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9 . 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)
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10 . 点
经矩阵
变换后得到点
在直线
上,且矩阵
不存在逆矩阵,求实数
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab85fdf66f4d2000456eaf620fc9bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86076e60d1727a012a0eab695dd6914f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbb5f75f035bc58830b9df835287b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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