求行列式形如|-a1,a1,0,·········0,0,0-查字典问答网
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  求行列式形如|-a1,a1,0,·········0,0,0||0,-a2,a2···········0.0,0||································||0,00···-an-1an-10||000·············0-anan||111·······

  求行列式

  形如|-a1,a1,0,·········0,0,0|

  |0,-a2,a2···········0.0,0|

  |································|

  |0,00···-an-1an-10|

  |000·············0-anan|

  |111··············111|的行列式

1回答
2020-05-25 01:03
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陈渝

  第二列加第一列,第三列加第二列,.如此类推,n+1列加第n列,成”下三角“型,主对角线上元素为:-a1,-a2,...-an,n+1

  所以,Dn+1=(n+1)*a1*a2*...*an*(-1)^n

2020-05-25 01:08:50

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