行列式求值~0 0...0 a b0 0...a b 0.a b ..0 0 0b 0...0 0 a

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行列式求值~00...0ab00...ab0.ab..000b0...00a行列式求值~00...0ab00...ab0.ab..000b0...00a行列式求值~00...0ab00...ab0.a

行列式求值~0 0...0 a b0 0...a b 0.a b ..0 0 0b 0...0 0 a
行列式求值~
0 0...0 a b
0 0...a b 0
.
a b ..0 0 0
b 0...0 0 a

行列式求值~0 0...0 a b0 0...a b 0.a b ..0 0 0b 0...0 0 a
第n-1行与第1行交换
第n-2行与第2行交换
.
得到
a b ..0 0 0
.
0 0...a b 0
0 0...0 a b
b 0...0 0 a
上式按最后一行展开,就简单了