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题目详情

单选题行列式的值为( )

A. 1

B. 2

C. 0

D. -1

学科：默认课程

时间：2026-05-22 14:48:18

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若 <img src="https://tihai-oss-cloud.itihey.com/img/99c3faef54ea255f8fa8866011ff7457.png"> <img src="https://tihai-oss-cloud.itihey.com/img/09ac89bc1e8ba5d3e4e14b679a3f0d04.png">,则 <img src="https://tihai-oss-cloud.itihey.com/img/c42845d14887e6d3ee02c7e480cdc2b2.png">( )

A. 1B. 8C. -8D. 0

设 <img src="https://tihai-oss-cloud.itihey.com/img/de96016ba5edf0e6b3e16a9fa5640f62.png">为三阶阵, <img src="https://tihai-oss-cloud.itihey.com/img/a2ff8ab92fdf37f9fac709438bc37160.png">,则 <img src="https://tihai-oss-cloud.itihey.com/img/6802c0091aba580d3595c61a51ef4808.png">( )

A. 0B. -2C. 4D. 2

下列说法错误的是( )

A. 将行列式的某行乘以数k(k≠0),等于用k乘以此行列式B. 交换行列式两行之后行列式值不变C. 有两行完全相同的行列式值为零D. 行列式等于其转置行列式

设 <img src="https://tihai-oss-cloud.itihey.com/img/de96016ba5edf0e6b3e16a9fa5640f62.png">为3阶方阵,则 <img src="https://tihai-oss-cloud.itihey.com/img/9a1ba411fa5e88abe5c40c5dc7786d1a.png">( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/d8c448f2492e2aaf0d6a8119899143af.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/6066796a0d6b5c902b042811b7ceb939.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/83d148430641c3cfd86e389c4d53fc0b.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/99d82b37a9c34295d8112e6ea1a52c15.png">

<img src="https://tihai-oss-cloud.itihey.com/img/4c5e501c9eb2bfea3f38907e14694507.png">( )

A. -1B. -2C. 1D. 0

设 <img src="https://tihai-oss-cloud.itihey.com/img/2727c11db1d3606fd388d04c620cc5db.png">,则 <img src="https://tihai-oss-cloud.itihey.com/img/0de9714d970f5354df72db258f1d8814.png">( )

A. 2B. 1/9C. 0D. 4

下列行列式不为0的是( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/85dc40c6298782faf8223995421087ca.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/51dd73cf2e5494c28a3222e907e0e87e.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/96550831e66104b40ae9447626612bff.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/eb1f9cfeed70eef2dcb69c36614a97fd.png">

行列式 <img src="https://tihai-oss-cloud.itihey.com/img/d609e9f2703d46c83ca579ef36f50607.png">的值为( )

A. 1B. 2C. 0D. -1

设 <img src="https://tihai-oss-cloud.itihey.com/img/a2ff8ab92fdf37f9fac709438bc37160.png">,则 <img src="https://tihai-oss-cloud.itihey.com/img/6a1246b1ba085cb641be70af7e6df82d.png">( )

A. 2B. 4C. 1/2D. 0

设 <img src="https://tihai-oss-cloud.itihey.com/img/de96016ba5edf0e6b3e16a9fa5640f62.png">为 <img src="https://tihai-oss-cloud.itihey.com/img/1dac517aff62a020fcb3bbd85e78ab3f.png">阶方阵, <img src="https://tihai-oss-cloud.itihey.com/img/9a2cd0ca06d37971ad267e7d486d2e2a.png">,则 <img src="https://tihai-oss-cloud.itihey.com/img/3f840f8e8653001ffbb9cf181215c34a.png">( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/3bcb6b4d6bccda61b3b11fca8217595d.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/b4dfc6e4a4f4bd63058639058e6d7876.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d05a4ac979ae51ccbc3c521d473ae671.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/3cf8919cab7d4b753f8b56ea06f8c8c3.png">

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