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单选题 设α1,α2,α3线性无关,则下列向量组线性无关的是( )
学科：默认课程
时间：2025-12-27 00:30:52
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题目1单选题
设同阶方阵A、B、C、E满足关系式ABC=E,则必有( )A. ACB=EB. CBA=EC. BCA=ED. BAC=E
题目2单选题
下列矩阵中不是初等矩阵的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/b43e8e7449b69099ecc94a0431072cb2.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/e3f697abcc737c8cc2f4a8e8b0a86083.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/6e68b820f4468d4ebd5f23a73571eb5c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/597f1c81e3f91b2f7b4f8c851e2fec95.png">
题目3单选题
行列式<img src="https://tihai-oss-cloud.itihey.com/img/7458376cb966d8fad22de3c967ee3ef3.png">的充分条件是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/88153cdd97a20d67db435b91cd5a2336.png">且<img src="https://tihai-oss-cloud.itihey.com/img/e39aa46d2748b18755a81b12fd3911db.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/79af9b91908521ba9cfa2bb6a7b2b139.png">或<img src="https://tihai-oss-cloud.itihey.com/img/bfb5cffcfdf8136d49da5fd208551309.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/bfb5cffcfdf8136d49da5fd208551309.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/79af9b91908521ba9cfa2bb6a7b2b139.png">
题目4单选题
设A=<img src="https://tihai-oss-cloud.itihey.com/img/1d6268b5eb87d57c32fcc46de09b47ad.png">,A<img src="https://tihai-oss-cloud.itihey.com/img/1ec0bf0f92fd7a0605840a3b9b119ca9.png">为A的伴随矩阵,则(A<img src="https://tihai-oss-cloud.itihey.com/img/1ec0bf0f92fd7a0605840a3b9b119ca9.png">)<img src="https://tihai-oss-cloud.itihey.com/img/ad16134feb928279808cebe2ac1e9184.png">=( )A. 1/10AB. 1/5AC. AD. 1/2A
题目5单选题
若A,B为同阶方阵,且满足AB=0,则有( )A. |A|=0或|B|=0B. A与B均可逆C. (A+B)<img src="https://tihai-oss-cloud.itihey.com/img/2f475e5dc86fff2872962d65097ec651.png">=A<img src="https://tihai-oss-cloud.itihey.com/img/2f475e5dc86fff2872962d65097ec651.png">+B<img src="https://tihai-oss-cloud.itihey.com/img/0d1f968a29e587bb647ca9ff21bab36d.png">D. A=0或B=0
题目6单选题
设有矩阵<img src="https://tihai-oss-cloud.itihey.com/img/50e0ca10ea3aa6bdd3fb3d6727f6bd08.png">,则下列矩阵运算可行的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/46b452eed9797ec1ab55eddde40ee119.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/b0c1d318c0fa05e06f587c6327577dce.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a223a63ae3db02b58be89d8e2bced14c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/987e5eb4b24f55d601eabae5166f258c.png">
题目7单选题
行列式<img src="https://tihai-oss-cloud.itihey.com/img/11b6860c0bcacfc386428fa75a9cf43a.png">的充分条件是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/43ffdf7b128bd91c89e67f0bc980e759.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/950894d9f9dc400000f2e2f9cfce22c7.png">且<img src="https://tihai-oss-cloud.itihey.com/img/43ffdf7b128bd91c89e67f0bc980e759.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/950894d9f9dc400000f2e2f9cfce22c7.png">或<img src="https://tihai-oss-cloud.itihey.com/img/43ffdf7b128bd91c89e67f0bc980e759.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/950894d9f9dc400000f2e2f9cfce22c7.png">
题目8单选题
设α1,α2,α3线性无关,则下列向量组线性无关的是( )A. α2-α3,α1+α2,α1+α3B. α1-α2,α2-α3,α3-α1C. α1-α3 ,α2,α3 - α1-α2D. α1+α2,α2+α3,α3+α1
题目9单选题
设A,B均为n阶正交矩阵,则以下结论一定错误的是A. AB是正交阵B. |AB|=±1C. |A-B|=0D. <img src="https://tihai-oss-cloud.itihey.com/img/8ba70d795b7751471f79911b82e52080.png">
题目10填空题
设<img src="https://tihai-oss-cloud.itihey.com/img/d11f9048579cf9948ad78b1d480de6dd.png"> 则<img src="https://tihai-oss-cloud.itihey.com/img/0f4f787bd18ad197125e5ae33334d3ea.png">____下载 题海APP
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