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1 . 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)
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2019-09-12更新
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105次组卷
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2卷引用:江苏省无锡市天一中学2018-2019学年高一下学期期中考试数学(平行班)试题
2 . 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)
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