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单选题 设A是s×n矩阵(s≠n),则以下关于矩阵A的叙述正确的是( )
学科：线性代数（理本）
时间：2024-11-02 04:23:43
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题目1单选题
设A、B均为n阶方阵,则下列等式不正确的是( )A. T = kATB. <img src="https://tihai-oss-cloud.itihey.com/img/583aa0cbf2a8f1d6217d746b6ff5338d.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/c6bbc2dbf96c95c55da42890ec79d741.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/2e86c9ecf08007dba023fad2763d9338.png">
题目2单选题
设 <img src="https://tihai-oss-cloud.itihey.com/img/612995a0da2a49641955d507a31f044e.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/8f1ef5747a4cf2e7640632cde5dccbe9.png">( )A. -11k3B. 11k3C. -11kD. 11k
题目3单选题
下列等式中,正确的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/b566ba41e058871d5e45c8f144553ea7.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/69a84e20238aed944fea441d5bb65330.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a685b1c0ef751ea4a47b654e8e85518b.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/f5243842c44054ba6a64c258a3895a91.png">
题目4单选题
设A是s×n矩阵(s≠n),则以下关于矩阵A的叙述正确的是( )A. AAT是s×s对称矩阵B. AAT = ATAC. T = AATD. ATA是s×s对称矩阵
题目5单选题
设矩阵<img src="https://tihai-oss-cloud.itihey.com/img/ed4e4d10f35b6858216dae90747f60a0.png">,k为正整数,则<img src="https://tihai-oss-cloud.itihey.com/img/ab7d012ec014900047342dda66ffe8ea.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/fd3aeaa03239cd5892784b189314dd3b.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/88cb90b7d3777bb546b70b661ee94a5b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/f81d1e6833716fd57319ef6df7ee01f9.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/478ac8a10baf5a3a0d49a2d1b7eec3de.png">
题目6单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/e9815f8a25a32e7d7f1f9c4afe88acac.png">, 则<img src="https://tihai-oss-cloud.itihey.com/img/7ff26c18823d4afd379695e606a7f3f8.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/62aec767a86f861dbc926aed7cc1e2db.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/c3f2459c62e8dd3c7246bebe0469244e.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/7a8e5880835d17e4ab4cbc8a24f9c224.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/dac450053c4256186d2bd59e0457eade.png">
题目7单选题
设A为3阶方阵,且已知<img src="https://tihai-oss-cloud.itihey.com/img/ab96c65f7d653e09bad28f87d4205748.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/b7dcc9efdbd77a6fce935a914956e63a.png">( )A. -1/4B. 1/4C. 1D. -1
题目8单选题
设A、B是同阶方阵,且<img src="https://tihai-oss-cloud.itihey.com/img/b6c57ca78a7777e5fb27c75381e4be28.png">,则必有( )A. <img src="https://tihai-oss-cloud.itihey.com/img/1e5d8ded5756a63befb2f4e23168ea16.png">或 <img src="https://tihai-oss-cloud.itihey.com/img/4a803ff982766cb7b45272dafbec0d5f.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/e0d9afd25126168048cc4ee53384c6dc.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/6405fe5aff4e488d58ef8c786e53b141.png">或 <img src="https://tihai-oss-cloud.itihey.com/img/bd14ee8ab21737fe3443de3544d53c36.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/94db830bc98878e6fd9bb9c1c21b0983.png">
题目9单选题
设A、B均为n阶方阵,则下列等式不正确的是( )A. (kA)T = kATB. <img src="https://tihai-oss-cloud.itihey.com/img/583aa0cbf2a8f1d6217d746b6ff5338d.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/c6bbc2dbf96c95c55da42890ec79d741.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/2e86c9ecf08007dba023fad2763d9338.png">
题目10单选题
设A是s×n矩阵(s≠n),则以下关于矩阵A的叙述正确的是( )A. AAT是s×s对称矩阵B. AAT = ATAC. (ATA)T = AATD. ATA是s×s对称矩阵
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