1 . 已知矩阵
.
(1)求直线
在
对应的变换作用下所得的曲线方程;
(2)求矩阵
的特征值与特征向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56bda572d3b5246c833d709a3e88bfa.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8c1212804e6d784756d48083d166e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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2 . 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
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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
3 . 已知a,
,点
在矩阵
对应的变换下得到点
.
(1)求a,b的值;
(2)求矩阵A的特征值和特征向量;
(3)若向量
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f047e7ed44a3897ec79c6c6a0c641fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad871841261ad2e6e15401bd1ecc369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef6fe3679e4dc29469edbccc75a682b.png)
(1)求a,b的值;
(2)求矩阵A的特征值和特征向量;
(3)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2951b82dddddc986e3c1d54401d3d751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26692b18c720fe3a63c82773e83dd0a8.png)
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2020-04-24更新
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96次组卷
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2卷引用:江苏省徐州市2018-2019学年高二下学期期末理科数学试题
4 . (1)已知矩阵
,矩阵
的逆矩阵
,求矩阵
.
(2)已知矩阵
的一个特征值为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1d0410e84d68d63e459ddd38e99904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b20490758703d7d98d03c7196c0955e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)已知矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bfa8cb201dda40c9cb5dd949e8359c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16fc7ee0ddf5893ea5b87652889c0f9.png)
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5 . 已知矩阵
,
,B的逆矩阵
满足
.
(1)求实数x,y的值;
(2)求矩阵A的特征值和特征向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942cf2ddbf016930231fc13a973f87d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896f5ebed1acdcff10e9cd5bc607ff8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f930a0cd9f13a80c9c299a8927a8496d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d1c54bf20b88e3ee31c5f442fec8850.png)
(1)求实数x,y的值;
(2)求矩阵A的特征值和特征向量.
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6 . 能成为以行列形式表示的直线方程
的一个方向向量的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0703aecbb1d9fdc7e1c316fb71f0764b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76819a2ffc8834c0d9733a53fe4c5aee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cb1bdfe66915c39f40963c186ab304.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知矩阵
,矩阵
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39b8316f9fe3d151242186bbd2510965.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c242127408111d884474ce671c102436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27c96d5d4bd9842ecc908919b535cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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8 . 向量
(左)乘向量
的法则是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1eaadd274b7644891f5550a799a11bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ececb4f768fc7b51af9ba95b1febb95.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2019-11-22更新
|
88次组卷
|
2卷引用:沪教版 高二年级第一学期 领航者 第九章 9.5 复习与小结(2)
9 . 行列式
中,6的代数余子式的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af39283d10056a7a74d0eb923f4c0a8e.png)
您最近一年使用:0次
2019-11-08更新
|
290次组卷
|
7卷引用:上海市控江中学2018-2019学年高二上学期期中质量调研数学试题
10 . (1)已知可逆矩阵
的逆矩阵为
,求
的特征值.
(2)变换
是逆时针旋转
的旋转变换,对应的变换矩阵是
:变换
对应用的变换矩阵是
,求函数
的图象依次在
,
变换的作用下所得曲线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2557bae6398fe6459b1fe424e8bc4392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f91cab85fcb55eca98e74036d077f082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
(2)变换
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f970e018e92a3b5fc24b138ec84a512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
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2019-09-18更新
|
202次组卷
|
2卷引用:江苏省天一中学2018-2019学年高二(强化班)下学期期末考试数学试题