c1+c2+c3+c4
λ-1 -1 -1 1
λ-1 λ 1 -1
λ-1 1 λ -1
λ-1 -1 -1 λ
r2-r1,r3-r1,r4-r1
λ-1 -1 -1 1
0 λ+1 2 -2
0 2 λ+1 -2
0 0 0 λ-1
按第1列展开,再按最后一行展开
行列式 = (λ-1)^2 *
λ+1 2
2 λ+1
= (λ-1)^3(λ+3).
急求四阶行列式算法步骤,e
c1+c2+c3+c4
λ-1 -1 -1 1
λ-1 λ 1 -1
λ-1 1 λ -1
λ-1 -1 -1 λ
r2-r1,r3-r1,r4-r1
λ-1 -1 -1 1
0 λ+1 2 -2
0 2 λ+1 -2
0 0 0 λ-1
按第1列展开,再按最后一行展开
行列式 = (λ-1)^2 *
λ+1 2
2 λ+1
= (λ-1)^3(λ+3).