1 . 已知
,矩阵
的一个特征值为2.
(1)求
的值;
(2)求矩阵A的逆矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb66f4db41478c23128adc14f2796556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c472b9ec817001de58e85bfcad1a9af2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求矩阵A的逆矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
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2 . 已知矩阵
,
,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ad0004771df5fef239fdb4e219229d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e8981113be6f5d7a9523ca222bfcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d7366be948699262e4764bbc66dd46.png)
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3 . 在平面直角坐标系xOy中,直线
在矩阵
对应的变换下得到的直线过点
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f38d76f7a5e9c779da67aadc9cbfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29325381333d99be8ccf30d77f8fbfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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4 . 已知矩阵
满足
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35af899c7ff0d851f6178b4e386595f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b909b41750d5454426fa8c4981a39196.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
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5 . 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
6 . 已知
,若矩阵
所对应的变换把直线
变换为自身,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0467053b6d48f6cfa2bca632d3592e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a461995b90655f5133df6f61c2d09bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87ce39e2b89d40e02d578db34ecdefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5281a7e4f6d37e698366c83fa38d7b6a.png)
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7 . 已知矩阵
.
(1)求矩阵
的特征值和特征向量;
(2)设
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6913c5fc2e8c6036c891c742ce29cccb.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21502de55ca5bfc37bbee196b8322440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8170186ac6be5f699bcdf968e8940b79.png)
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2020-04-30更新
|
96次组卷
|
2卷引用:江苏省合作联盟学校2019-2020学年高三下学期阶段性调研测试数学试题
名校
8 . 已知矩阵
,向量
.
(1)求矩阵
的特征值及属于每个特征值的一个特征向量;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089e786688812090072d0629c610786c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/574626740f4741c2e515c2933dfa3fcd.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85bfab60deb300101c5033e9c6921fd8.png)
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2020-04-25更新
|
77次组卷
|
2卷引用:江苏省苏州市高新区第一中学2018-2019学年高二下学期5月阶段调研理科数学试题
名校
9 . 已知矩阵
,若点
在矩阵
对应的变换下得到点
,求
点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab92791be40b62ec74e92f7ef65be5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c62b5f7e452f51cbf7ebb921c6786f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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