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单选题 当
( )
( )时,四阶行列式中项
冠负号
学科：默认课程
时间：2025-09-02 12:37:20
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题目1单选题
当<img src="https://tihai-oss-cloud.itihey.com/img/16d836799a79482a137a735748bf357e.png">( )<img src="https://tihai-oss-cloud.itihey.com/img/0c9824409f3d3b6655c565e23576eb34.png">( )时,四阶行列式中项<img src="https://tihai-oss-cloud.itihey.com/img/7af383fad747530e518de3f5da806d9e.png">冠负号A. 4 2B. 2 4C. 1 4D. 3 4
题目2单选题
三级排列213的逆序数为 ( ),它是( ) 排列,从而三阶行列式中项<img src="https://tihai-oss-cloud.itihey.com/img/9a3016342bd53efe0cee8ec86171ceae.png">冠( )号A. 1 奇 负B. 2 偶 正C. 3 奇 负D. 0 偶 正
题目3单选题
四级排列4321的逆序数为 ( ),它是( ) 排列,从而四阶行列式中项<img src="https://tihai-oss-cloud.itihey.com/img/9e91af1add673c09682970083fc5b1bd.png">冠( )号A. 3 奇 负B. 4 偶 正C. 5 奇 负D. 6 偶 正
题目4单选题
四级排列4132的逆序数为 ( ),它是( ) 排列A. 1 奇B. 2 偶C. 3 奇D. 4 偶
题目5单选题
五级排列54321的逆序数为 ( ),它是( ) 排列A. 7 奇B. 10 偶C. 9 奇D. 8 偶
题目6单选题
七级排列3712456的逆序数为 ( ),它是( ) 排列A. 7 奇B. 10 偶C. 9 奇D. 8 偶
题目7单选题
<img src="https://tihai-oss-cloud.itihey.com/img/1dac517aff62a020fcb3bbd85e78ab3f.png">级排列<img src="https://tihai-oss-cloud.itihey.com/img/f3d27b40325df5be74673968a46130af.png">的逆序数为 ( ),当<img src="https://tihai-oss-cloud.itihey.com/img/b90b31b1ea38b10fde41bb682e48a2f9.png">( )时,它是偶排列A. <img src="https://tihai-oss-cloud.itihey.com/img/241afd9013413a876a38dab4b1880511.png"> <img src="https://tihai-oss-cloud.itihey.com/img/642903beee01f33eb3756ecd8bceff87.png">或<img src="https://tihai-oss-cloud.itihey.com/img/dcdc5b5e9906b481d6a876c211dc9e31.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/241afd9013413a876a38dab4b1880511.png"> <img src="https://tihai-oss-cloud.itihey.com/img/dee0dd46a32a0df9d13efa1ab7cca7a4.png">或<img src="https://tihai-oss-cloud.itihey.com/img/b624cfb81151685f2630a28c791dfd60.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/162dda2f5284762577886dfffb0e23d9.png"> <img src="https://tihai-oss-cloud.itihey.com/img/a348b6f58e13e5c7c18c6482381df640.png">或<img src="https://tihai-oss-cloud.itihey.com/img/6e92483fe4231c72e29d5bac8869344d.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/162dda2f5284762577886dfffb0e23d9.png"> <img src="https://tihai-oss-cloud.itihey.com/img/642903beee01f33eb3756ecd8bceff87.png">或<img src="https://tihai-oss-cloud.itihey.com/img/b624cfb81151685f2630a28c791dfd60.png">
题目8单选题
<img src="https://tihai-oss-cloud.itihey.com/img/39b658e2e12f5e413a446df327555662.png">级排列<img src="https://tihai-oss-cloud.itihey.com/img/4c1cef49a53a22712b88b2b1745df49a.png">的逆序数为 ( ),当<img src="https://tihai-oss-cloud.itihey.com/img/b90b31b1ea38b10fde41bb682e48a2f9.png">( )时,它是奇排列A. <img src="https://tihai-oss-cloud.itihey.com/img/241afd9013413a876a38dab4b1880511.png"> <img src="https://tihai-oss-cloud.itihey.com/img/642903beee01f33eb3756ecd8bceff87.png">或<img src="https://tihai-oss-cloud.itihey.com/img/dcdc5b5e9906b481d6a876c211dc9e31.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/241afd9013413a876a38dab4b1880511.png"> <img src="https://tihai-oss-cloud.itihey.com/img/dee0dd46a32a0df9d13efa1ab7cca7a4.png">或<img src="https://tihai-oss-cloud.itihey.com/img/b624cfb81151685f2630a28c791dfd60.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/162dda2f5284762577886dfffb0e23d9.png"> <img src="https://tihai-oss-cloud.itihey.com/img/a348b6f58e13e5c7c18c6482381df640.png">或<img src="https://tihai-oss-cloud.itihey.com/img/6e92483fe4231c72e29d5bac8869344d.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/162dda2f5284762577886dfffb0e23d9.png"> <img src="https://tihai-oss-cloud.itihey.com/img/642903beee01f33eb3756ecd8bceff87.png">或<img src="https://tihai-oss-cloud.itihey.com/img/b624cfb81151685f2630a28c791dfd60.png">
题目9单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/c88b93c23d33b0dc2031272f95b75bb3.png">表示排列的逆序数,则<img src="https://tihai-oss-cloud.itihey.com/img/8d256528e11393bb4fd7950e407371e4.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/883710f46ed22cd758005593a8ac9e36.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/c22d2245a2daeba9bb464a1990236c3c.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/ee01deea9f314a5bf344dad099634838.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/4ceabcbea03feb572af35bc5f9c7a135.png">
题目10单选题
以下关于对角行列式的描述,哪一项是正确的A. 对角行列式中非对角线上的元素全为零B. 对角行列式中主对角线上的元素全为零C. 对角行列式中次对角线上的元素全为零D. 对角行列式中所有元素均为零
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