已知
=
是矩阵M=
属于特征值λ1=2的一个特征向量.
(Ⅰ)求矩阵M;
(Ⅱ)若
,求M10a.
![](https://img.xkw.com/dksih/QBM/2014/12/2/1571908679688192/1571908685438976/STEM/36af06dc9e6b45658ac244111813be00.png)
![](https://img.xkw.com/dksih/QBM/2014/12/2/1571908679688192/1571908685438976/STEM/cbc01f7080bf452297948908a4bd8079.png)
![](https://img.xkw.com/dksih/QBM/2014/12/2/1571908679688192/1571908685438976/STEM/491d4d91de984a94990224df77d37d42.png)
(Ⅰ)求矩阵M;
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2014/12/2/1571908679688192/1571908685438976/STEM/c18bee516d374a4abfac5e0ca18607f2.png)
13-14高一·全国·课后作业 查看更多[2]
更新时间:2016-12-03 06:39:19
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解答题-问答题
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适中
(0.65)
【推荐1】已如变换
对应的变换矩阵是
,变换
对应的变换矩阵是
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(Ⅰ)若直线
先经过变换
,再经过变换
后所得曲线为
,求曲线
的方程;
(Ⅱ)求矩阵
的特征值与特征向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93cc8019ddbc7d76db6058397c2e19d2.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b58f796d6d58fa53a8215017205846.png)
(Ⅰ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8c1212804e6d784756d48083d166e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9089c8427b51b9fad79f311938190b4.png)
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解答题-问答题
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适中
(0.65)
名校
【推荐2】B.选修4—2 矩阵与变换
已知矩阵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
,其中
,若点
在矩阵
的变换下得到点
,
(1)求实数a的值;
(2)求矩阵
的特征值及其对应的特征向量.
已知矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99cb445bb4dd025a31a94859cdbb6ff4.png)
![](https://img.xkw.com/dksih/QBM/2011/5/4/1570137103917056/1570137109594112/STEM/6d4d9d4934284ae4ba209a3acfea7402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5631beb2a5954e3abf3b206d9e5ea0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aba6509b9dcf47721653e2cf5c8de71.png)
(1)求实数a的值;
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次