λ取何值时,线性方程组 λ1x1+x2+x3=λ-3 x1+λx2+x3=-2 x1+x2+λx3=-2 无解,有唯一解,有无穷解,求方程组通解λx1+x2+x3=λ-3 x1+λx2+x3=-2 x1+x2+λx3=-2
问题描述:
λ取何值时,线性方程组 λ1x1+x2+x3=λ-3 x1+λx2+x3=-2 x1+x2+λx3=-2 无解,有唯一解,有无穷解,
求方程组通解
λx1+x2+x3=λ-3
x1+λx2+x3=-2
x1+x2+λx3=-2
答
λx1+x2+x3=λ-3-------------------------(1)x1+λx2+x3=-2--------------------------(2)x1+x2+λx3=-2--------------------------(3)(1)-λ*(2),x2-λ^2 x2+x3-λx3=λ-3-2λ---------------(4)(1)-λ*(3)x2-λ x...