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行列式计算方法Dn=谁会?Dn={122...22}{222...22}{223...22}{...}{...}{222...n-12}{222....2n}谁会..括号是一竖

题目详情
行列式计算方法D_n=谁会?
D_n={122...22}
{222...22}
{223...22}
{. . .}
{. . .}
{222...n-1 2}
{2 2 2....2 n}
谁会..括号是一竖
▼优质解答
答案和解析
同减第2行
{-1 0 0....0 0}
{2 2 2....2 2}
{0 0 1....0 0}
{ . . . }
{ . . . }
{0 0 0...n-3 0}
{0 0 0....0 n-2}

=(-1)*2*(n-2)!
=-2*(n-2)!