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

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2020-05-2501:03

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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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