1 . 已知
,矩阵
的一个特征值为2.
(1)求
的值;
(2)求矩阵A的逆矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb66f4db41478c23128adc14f2796556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c472b9ec817001de58e85bfcad1a9af2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求矩阵A的逆矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
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2 . 已知矩阵A=
,点P(3,-1)在矩阵A对应的变换作用下得到点P′(3,5).
(1)求a和b的值;
(2)求矩阵A的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f1a8bc297e3b0eb56c7428f7381157.png)
(1)求a和b的值;
(2)求矩阵A的特征值.
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3 . 已知矩阵
的一个特征向量
.
(1)求实数a的值;
(2)若向量
,计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf151bb7309521e17c72cdd52734209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aee1e56778112ccddec2ab07fd4fe02.png)
(1)求实数a的值;
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc955ccd98460ea1f3cac5518b32bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547973c8f21bb13bc1cf869f2ebf437f.png)
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4 . 已知矩阵
的一个特征值为
,向量
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae206edf2287a206ba6c5e7b93d7daff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed127ce2b4a6fc3573fb0a6bc4664aa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13fb1e34c85baa2279c12c88b8b7b99.png)
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5 . 已知
,矩阵
的特征值
所对应的一个特征向量为
.
(1)求矩阵
;
(2)若曲线
在矩阵
对应的变换作用下得到另一曲线
,求曲线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41c0fee0e838e21a54f1670272cc20a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfec4233214c3a729c843dee0d186db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcac75bd925aec6c58d030b45aa4ba0.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d9ca6ab6f615a60145a29bb04d07f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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6 . 已知二阶矩阵M有特征值
及属于特征值4的一个特征向量
并有特征值
及属于特征值
的一个特征向量
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5c54cac499eca63b317a7a82872351.png)
(1)求矩阵M;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645f7ad14b3bc8e25e66a6db2e67a3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb2adbeb3c989a133f18542ad04d905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c300b4cce8a3cd83e81ec46c2a75165b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d596913e7356226332a9d9d1dea81f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5c54cac499eca63b317a7a82872351.png)
(1)求矩阵M;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd6c505e4e0f9f2c89a5672c6dd1b555.png)
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7 . 已知矩阵
.
(1)求
的逆矩阵
;
(2)求矩阵
的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4622761ee489fa191b35617bb1601734.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2020-08-10更新
|
125次组卷
|
2卷引用:江苏省南通市名师2020届高三下学期最后一卷数学试题
8 . 已知矩阵
的一个特征值为2,其对应的一个特征向量为
.
(1)求矩阵A;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d8c82801f23fd1c407b3f0635183bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0920368ba6bf1a80cd0ffeb5aadf38a.png)
(1)求矩阵A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56f7dda48336b4051c633b4ee85cf20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
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9 . 已知矩阵
,点
在矩阵
对应的变换作用下变为点
.
(1)求
,
的值;
(2)求矩阵
的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6946bbc978269872c0cbbc659a3070d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d25e70d37af93796965efc8d342185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6fe915da51b1be6414ac2b92b3cea5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2020-07-15更新
|
88次组卷
|
3卷引用:江苏省徐州市2020届高三下学期考前模拟(四模)数学试题
10 . 已知矩阵
的一个特征值为2.
(1)求实数a的值;
(2)求矩阵A的另一个特征值及其对应的一个特征向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5f5f134ec0a8974addc10d260d77a6.png)
(1)求实数a的值;
(2)求矩阵A的另一个特征值及其对应的一个特征向量.
您最近一年使用:0次