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单选题 若矩阵A可逆,矩阵B也可逆,矩阵C也可逆,且 AB,BC, ABC都可运算,则下列命题错误的是( )
学科：线性代数
时间：2024-06-20 15:26:56
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题目1单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/79c2bd134dea03f2e8f2f7e91ac68299.png">为<img src="https://tihai-oss-cloud.itihey.com/img/1dac517aff62a020fcb3bbd85e78ab3f.png">阶方阵,则必有( )A. <img src="https://tihai-oss-cloud.itihey.com/img/408048778f104dd82b73340e5f4abfce.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/b4523015015788469a5651f9afb82b85.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/eea8270a703558c089719c56000c889a.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/681fd7f4614795d8737f4f3f0665fc41.png">
题目2单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/1dac517aff62a020fcb3bbd85e78ab3f.png">阶方阵<img src="https://tihai-oss-cloud.itihey.com/img/79c2bd134dea03f2e8f2f7e91ac68299.png">满足关系式<img src="https://tihai-oss-cloud.itihey.com/img/536285380c1a4d3e71b417ef649a6713.png">, 则必有( )A. <img src="https://tihai-oss-cloud.itihey.com/img/5a879628e540d33813b4004e73d2620e.png">或<img src="https://tihai-oss-cloud.itihey.com/img/4f21763af2a4f126ef354beb2d460e92.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/bf5b522d60dc8ca9d241150ad3dc7a43.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/e2fe4e5344e747c42790da5484a7f8a8.png">或<img src="https://tihai-oss-cloud.itihey.com/img/956f7c5627dc7afe27fd42d9dcbb5fd2.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/11650dc7582aa4d415c233a9f49b1241.png">
题目3单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/7f9134a2cf5d55e56f4f15107d6b54b4.png">是3阶方阵,<img src="https://tihai-oss-cloud.itihey.com/img/64356800d368313ca66cba800937e997.png">是5阶方阵,且<img src="https://tihai-oss-cloud.itihey.com/img/701410966e185753889afab071a6cf8c.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/1aa5d189cfb2891905a03b4d00e71751.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/610d3043d9eb7aeddc483266764bb800.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/39d9a68cc8749574201e5b7d5e56f99d.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/046c09c4faf719b8026d1ff9615abbfb.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/0609f60e1f5467a4afbc1d4ba6a29258.png">
题目4单选题
<img src="https://tihai-oss-cloud.itihey.com/img/a9124e8cb1a91befda8e23f05630160c.webp">A. 1B. -1C. 3D. -3
题目5单选题
<img src="https://tihai-oss-cloud.itihey.com/img/6d08e3c00d98a16f66d5534a755664c6.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/e52d4d5c4fe173c7842fe127ee0b9c8b.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/6152726798090c9727642a646cc36003.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/054a5ab66590408dfaa779dd541a3e0a.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/89390456cf48ca62ec25b0a3ac4afbcf.png">
题目6单选题
<img src="https://tihai-oss-cloud.itihey.com/img/828282e298901061991f0ed4023e72c0.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/0e1a5558e1a36ed87ff40f6771f16c28.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/af8e9df767cf9cdfa16778661e5f2d3b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a4a8e604b86d6c90c99bb4230f56636c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/b323b7c9a5443af53fbb906dca66f911.png">
题目7单选题
若矩阵A可逆,矩阵B也可逆,矩阵C也可逆,且 AB,BC, ABC都可运算,则下列命题错误的是( )A. 矩阵AB是可逆阵,且|AB|≠0B. 矩阵BC是可逆阵,且|BC|≠0C. 矩阵ABC是可逆阵,且|ABC|≠0D. |AB|=0
题目8单选题
线性方程组<img src="https://tihai-oss-cloud.itihey.com/img/295055848c340d477fff754f8de9b870.png">有解的充分必要条件是<img src="https://tihai-oss-cloud.itihey.com/img/8a67762bec84b3b3b4ceba49a6a993f2.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/9de0fe5905d7287c97929d8ae682ae23.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/57a49d58da6d35402ade24a8583e0e24.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/100d4b7045e99f6bb94589ba254d299d.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/4ceabcbea03feb572af35bc5f9c7a135.png">
题目9单选题
方程组<img src="https://tihai-oss-cloud.itihey.com/img/6d481faf036212592c10d298d9c4c866.png">的通解为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/a147a3d0e3805f51167849f024230588.png">,(<img src="https://tihai-oss-cloud.itihey.com/img/0577d5fdd89027c94d8c0a3eb46b82a0.png">为任意数)B. <img src="https://tihai-oss-cloud.itihey.com/img/ea8aa35ecc8b917f6c7ca4b512df42cf.png">, (<img src="https://tihai-oss-cloud.itihey.com/img/0577d5fdd89027c94d8c0a3eb46b82a0.png">为任意数)C. <img src="https://tihai-oss-cloud.itihey.com/img/62a31e6dfb1560793f94e3917d13b2c9.png">, (<img src="https://tihai-oss-cloud.itihey.com/img/0577d5fdd89027c94d8c0a3eb46b82a0.png">为任意数)D. <img src="https://tihai-oss-cloud.itihey.com/img/0de2d416ff8f90b85c68e418d9ca439c.png">, (<img src="https://tihai-oss-cloud.itihey.com/img/0577d5fdd89027c94d8c0a3eb46b82a0.png">为任意数)
题目10单选题
线性方程组<img src="https://tihai-oss-cloud.itihey.com/img/a3f55a71a1f3742d7983fc1c66ab7c5a.png">的增广矩阵是<img src="https://tihai-oss-cloud.itihey.com/img/833e982cd1a71066759d6aa3a2964ff3.png">A. 对B. 错
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