Question

两道线性代数，求具体过程

两道线性代数，求具体过程第（2）题和第（8）题

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Answer 1

Answer 2

(2) D = (-1)^[(1/2)n(n-1)] (-1)^n n! = (-1)^[(1/2)n(n+1)] n!
(8) 按第 1 列 展开，D = aD1 + 1D2, D1 =
| b 1 0|
|-1 c 1|
| 0 -1 d|
= bcd+b+d,
D2 =
| 1 0 0|
|-1 c 1|
| 0 -1 d|
= cd+1
D = a(bcd+b+d)+cd+1 = abcd + ab + ad + cd + 1