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单选题 设
为相似的
阶方阵,则( )
A. 存在非奇异阵
,使
B. 存在对角阵
,使
与
都相似于
C. 存在非奇异阵,使
D. 与有相同的特征向量
学科：数学基础1
时间：2024-12-26 18:55:43
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题目1单选题
如果( ),则<img src="https://tihai-oss-cloud.itihey.com/img/24d63bcf46f9c286eadc4ad9aa579630.png">与<img src="https://tihai-oss-cloud.itihey.com/img/897f3e9915282e22444ca625d3c6fcf3.png">相似A. <img src="https://tihai-oss-cloud.itihey.com/img/77538e8256f276267605e57e1f0f1c47.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/d3d6f0ca812313c32bcd73e301eb80ac.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/24d63bcf46f9c286eadc4ad9aa579630.png">与<img src="https://tihai-oss-cloud.itihey.com/img/897f3e9915282e22444ca625d3c6fcf3.png">有相同的特征多项式D. <img src="https://tihai-oss-cloud.itihey.com/img/24d63bcf46f9c286eadc4ad9aa579630.png">与<img src="https://tihai-oss-cloud.itihey.com/img/897f3e9915282e22444ca625d3c6fcf3.png">有相同的特征值,且特征值各不相同
题目2单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/a713b51ea3a6b4aaac47146015fc102a.png">为相似的<img src="https://tihai-oss-cloud.itihey.com/img/1dac517aff62a020fcb3bbd85e78ab3f.png">阶方阵,则( )A. 存在非奇异阵<img src="https://tihai-oss-cloud.itihey.com/img/6806b54c6f9fbde684000e3335767b9d.png">,使<img src="https://tihai-oss-cloud.itihey.com/img/2597464048439f0ed72092f14784e791.png">B. 存在对角阵<img src="https://tihai-oss-cloud.itihey.com/img/655cd93c307406537175fb86e19c9d57.png">,使<img src="https://tihai-oss-cloud.itihey.com/img/54f4567d5d1aa85ddf2c5f3ce75ecf98.png">与<img src="https://tihai-oss-cloud.itihey.com/img/24f1ca0e68eb0d6682f48a8f0e970a92.png">都相似于<img src="https://tihai-oss-cloud.itihey.com/img/655cd93c307406537175fb86e19c9d57.png">C. 存在非奇异阵<img src="https://tihai-oss-cloud.itihey.com/img/6806b54c6f9fbde684000e3335767b9d.png">,使<img src="https://tihai-oss-cloud.itihey.com/img/234dccd34ea1014ba96d1f6a7331537e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/54f4567d5d1aa85ddf2c5f3ce75ecf98.png">与<img src="https://tihai-oss-cloud.itihey.com/img/24f1ca0e68eb0d6682f48a8f0e970a92.png">有相同的特征向量
题目3多选题
n阶矩阵A与B相似,则下列结论正确的是A. B与A相似B. 二者秩相等C. 二者的特征多项式相同D. 二者特征值相同
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