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)
您最近一年使用:0次
名校
2 . 已知矩阵
,若矩阵C满足
,则矩阵C的所有特征值之和为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d23a701ee8748bea479789b496262733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc03f918e5d50b2d1d2456dcb2bdc11.png)
您最近一年使用:0次
2019-09-12更新
|
105次组卷
|
2卷引用:江苏省无锡市锡山区天一中学2018-2019学年高二下学期期末数学(理)试题
3 . 已知
,
R,矩阵
的两个特征向量
,
.
(1)求矩阵
的逆矩阵
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1f5facca1d0db44613d7c690bc90aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf15e7b45fd5ad39cd976b9925079b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f235abc72c85a9bf8bffdeb4f7249f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aabdbb12c1cf332faab488e26ac7c139.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/847c5221f9cde74db40d9f74e67c740c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5681e7b1973df455c89cc8662b353b49.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f02cd64835a82bed10d94f4da0a3118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ed6a8d1d0479db2b5b7474eb060016.png)
您最近一年使用:0次
名校
4 . 已知
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ad0004771df5fef239fdb4e219229d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0d640b8ef9e7f05b914ad45725ac16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca0b0c71336832e329c40d4dd3553d7.png)
您最近一年使用:0次
名校
5 . 已知
,则曲线
在
的作用下得到的新曲线方程_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2308a1a8088b78d95e0787a6b9f6c61b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943fecc8fa33ccc1dca0b0cb9e908224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
名校
6 . 已知
,
是矩阵
的属于特征值
的一个特征向量,则矩阵
的另一个特征值为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a58eacc2e14a83d0524c1a2bf152a72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943a794aecb68d06606ec48fff100831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
7 . 已知矩阵
属于特征值
的一个特征向量为
.
(1)求实数
的值;
(2)若曲线
在矩阵
对应的变换作用下,得到的曲线为
求曲线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5657c1f2bda195f68a9a8f6c2f8a1691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6710e8fc56f9cded0283b16f4fcbb5cf.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bd96ba63ae36b6bef77a994532e4dd9.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8c7c578cb02a8c80d88c78f42b6af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
8 . 已知二阶矩阵
属于特征值
的一个特征向量为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196f8fc90573a36a7613b7fdd9f465d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a5569b9f84d91f16f1762ef1e6d0c5.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572935633461248/1572935639310336/STEM/9c58a59224fb4cef989959c20d461eeb.png?resizew=48)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
您最近一年使用:0次
9-10高二下·江苏盐城·期末
9 . 矩阵
的特征值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2152717699001ea10acf95240d21d614.png)
您最近一年使用:0次