![](https://iknow-base.cdn.bcebos.com/lxb/notice.png)
帮忙解一下这个行列式
展开全部
将所有行加到第n行
1-a1 a2 0 0 ... 0 0
-1 1-a2 a3 0 ... 0 0
0 -1 1-a3 a4... 0 0
... ...
-a1 0 0 0 ... 0 1
按第n行展开
Dn = (-1)^(n+1)(-a1a2a3...an) + Dn-1
= (-1)^na1a2a3...an + Dn-1
--迭代
= (-1)^na1a2...an + (-1)^(n-1)a1a2...an-1 + Dn-2
= ......
= (-1)^na1a2...an + (-1)^(n-1)a1a2...an-1 + ... + (-1)^2a1a2+D1
= (-1)^na1a2...an + (-1)^(n-1)a1a2...an-1 + ... + (-1)^2a1a2 - a1 + 1
--写好看点
= 1-a1+a1a2-a1a2a3+...+(-1)^na1a2...an.
1-a1 a2 0 0 ... 0 0
-1 1-a2 a3 0 ... 0 0
0 -1 1-a3 a4... 0 0
... ...
-a1 0 0 0 ... 0 1
按第n行展开
Dn = (-1)^(n+1)(-a1a2a3...an) + Dn-1
= (-1)^na1a2a3...an + Dn-1
--迭代
= (-1)^na1a2...an + (-1)^(n-1)a1a2...an-1 + Dn-2
= ......
= (-1)^na1a2...an + (-1)^(n-1)a1a2...an-1 + ... + (-1)^2a1a2+D1
= (-1)^na1a2...an + (-1)^(n-1)a1a2...an-1 + ... + (-1)^2a1a2 - a1 + 1
--写好看点
= 1-a1+a1a2-a1a2a3+...+(-1)^na1a2...an.
![](https://ecmc.bdimg.com/public03/b4cb859ca634443212c22993b0c87088.png)
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eor有以下两种含义:1. eor是计算机术语,表示二进制异或运算。在计算机逻辑运算中,算术逻辑执行二进制按位异或运算,两数执行异或后相同位结果为0,不同位结果为1。2. eor也表示在任何时期,向地层中注入流体、能量,以提高产量或采收率的...
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