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
,
,求矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd05e7a106366d89d29f981b96d9cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a613b04553bc8a0621b788a0cf3d180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6994cca5b8df73b467ce079d3bc68dd5.png)
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名校
4 . 已知矩阵
,其中
,若点
在矩阵A的变换下得到的点
.
(1)求实数m,n的值;
(2)求矩阵A的逆矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eff05a6854b3e0476fdf80802c8d3af0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68a83b4093280ea8750677f6828bf47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbcf0320d94734aedd3d4e2e31b9827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d76499976f17505ddfabe220bfe7145a.png)
(1)求实数m,n的值;
(2)求矩阵A的逆矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
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5 . 已知矩阵
的逆矩阵
.
(1)求矩阵
;
(2)若向量
,计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b12486b54321fbf5e6a75b2d48d5bc2.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4df4fd170c7732cd33cb607fae4778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae21b210e60c4618ba522424354aafb.png)
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2020-07-16更新
|
101次组卷
|
3卷引用:江苏省南通市2020届高三高考数学2.5模试题
真题
6 . 平面上点
在矩阵
对应的变换作用下得到点
.
(1)求实数
,
的值;
(2)求矩阵
的逆矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ebd2da016e7029c4dd72b9e377190c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f17f42cb71490b419e3861cccd2e5a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26c480721030e62f661a8295b35c8cc.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5281a7e4f6d37e698366c83fa38d7b6a.png)
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7 . 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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8 . 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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9 . 已知
,
是矩阵
的一个特征向量,求
的逆矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce55304240e6d1ccd4240145816435df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11585b5dfac3626665974fdbddce25ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfcaeccb9f62416994eed14d82b5ba5.png)
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2020-06-04更新
|
158次组卷
|
2卷引用:2020届江苏省七市(南通、泰州、扬州、徐州、淮安、连云港、宿迁)高三下学期第三次调研考试数学试题
10 . 设矩阵A
,求矩阵A的逆矩阵的特征值及对应的特征向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2026b6bea477d978a5f5fdf41fe07caf.png)
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