1 . 已知矩阵A=
,向量
.
(1)求A的特征值
、
和特征向量
、
;
(2)求A5
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7bfb6d45311dc703a09c825b4f190b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b9f80f530eb9de37ccc8482a1423e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12318ffc990d4be8ccf3842e0beb1fd3.png)
(1)求A的特征值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b5dc876d7dcd3c971b36d26668b1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345f310975ddb40dca94b5135c35dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943b765718479c160ba61ec5c6f8c5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e29bf5652f0d4f764c3606efcdb445f.png)
(2)求A5
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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2018-06-30更新
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2卷引用:湖南省常德市汉寿县第一中学2023-2024学年高二下学期3月月考数学试题