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填空题已知4阶方阵A,其中第三列元素分别为1,2,3,-2,它们的代数余子式的值分别为3,-2,2,1,则行列式=____

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学科：线性代数

时间：2026-03-16 11:53:29

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<img src="https://tihai-oss-cloud.itihey.com/img/83ee120bda8d473e202865d061a2940c.png">

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

若行列式<img src="https://tihai-oss-cloud.itihey.com/img/2188a43acfc49426d32d25372fe37b1e.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/81ec9270537a66cfa7c926c3af265798.png">

A. 0B. 1C. <img src="https://tihai-oss-cloud.itihey.com/img/35dfe7d6454ade03dfc71d636166cf19.png">D. 7

<img src="https://tihai-oss-cloud.itihey.com/img/ba5b2f8b902b8d7f55658a5399a22ba6.png">( )

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

在三阶行列式<img src="https://tihai-oss-cloud.itihey.com/img/1fbc82536ee8c20dc1347e7b78cd6c1f.png">中,元素<img src="https://tihai-oss-cloud.itihey.com/img/e365d49be319022d1d7be28344bdaca8.png">的余子式是( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/c13c19a0d644cac51ba3e43229e1c576.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/df99755c1f97ac9c85dc3f9216e6a294.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d918f050a10a4d8fb4301191e6236ebc.png">D. -<img src="https://tihai-oss-cloud.itihey.com/img/d918f050a10a4d8fb4301191e6236ebc.png">

行列式<img src="https://tihai-oss-cloud.itihey.com/img/1fbc82536ee8c20dc1347e7b78cd6c1f.png">中元素<img src="https://tihai-oss-cloud.itihey.com/img/59291f0d2ecea2a620482e7407720b20.png">的代数余子式是( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/c13c19a0d644cac51ba3e43229e1c576.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/df99755c1f97ac9c85dc3f9216e6a294.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d918f050a10a4d8fb4301191e6236ebc.png">D. -<img src="https://tihai-oss-cloud.itihey.com/img/d918f050a10a4d8fb4301191e6236ebc.png">

行列式<img src="https://tihai-oss-cloud.itihey.com/img/065d3dcc0e8118b3fbe4169b2562d3b3.png">中元素4的代数余子式的值为( )

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

<img src="https://tihai-oss-cloud.itihey.com/img/cb3f18f6db1a81bd9f65a60fe47786f5.png">

A. 0B. 6C. <img src="https://tihai-oss-cloud.itihey.com/img/5bf467a4398b61c756fab3cbd7c67e6e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/79006a8a2f8f6bd5c7da9dec57e21bfd.png">

四阶行列式D的某行元素依次为-1,0,k,6, 它们的代数余子式分别为3,4,-2,0,且<img src="https://tihai-oss-cloud.itihey.com/img/c443386ed38026febd08411beaa01f9a.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/7f01ebfc5c68b4ae32d6232a2261774c.png">( )

A. 0B. 3C. 1D. -1

已知4阶方阵A,其第三列元素分别为1,3,-2,2,它们的余子式的值分别为3,-2,1,1则行列式<img src="https://tihai-oss-cloud.itihey.com/img/211bce65528e18bdb8c4552251887562.png">

A. 5B. -5C. -3D. 3

已知4阶方阵A,其中第三列元素分别为1,2,3,-2,它们的代数余子式的值分别为3,-2,2,1,则行列式<img src="https://tihai-oss-cloud.itihey.com/img/329c223dbacd8a413e63ea5dee3bcd4d.png">=____

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