例13 设有线性方程组-|||- ) (1+lambda )(x)_(1)+(x)_(2)+(x)_(3)=0 (x)_(1)+(1+lambda )(x)_(2)+(x)_(3)=3 (x)_(1)+(x)_(2)+(1+lambda )(x)_(3)=lambda .-|||-问λ取何值时,此方程组(1)有惟一解;(2)无解;(3)有无限多解?并在有无-|||-限多解时求其通解.

三、λ取何值时，线性方程组}(1+lambda)x_{1)+x_(2)+x_(3)=0x_(1)+(1+lambda)x_(2)+x_(3)=3x_(1)+x_

1.如果线性方程组-|||- ) (x)_(1)+(x)_(2)+(x)_(3)=lambda -1 2(x)_(2)-(x)_(3)=lambda -2 (

6.λ取何值时,线性方程组-|||- ) (x)_(1)+(x)_(2)+(2-lambda )(x)_(3)=1, (x)_(1)+(2-lambda )(

问lambda 取何值时，齐次线性方程组}(1-lambda )({x)_(1)}-2({x)_(2)}+4({x)_(3)}=0 2({x)_(1)}+(3

非齐次线性方程组 ) -2(x)_(1)+(x)_(2)+(x)_(3)=-2 (x)_(1)-2(x)_(2)+(x)_(3)=lambda (x)_(1

非齐次线性方程组 -2(x)_(1)+(x)_(2)+(x)_(3)=-2-|||-_(1)-2(x)_(2)+(x)_(3)=lambda -|||-_(1

齐次线性方程组}lambda x_(1)+x_(2)+lambda^2x_(3)=0x_(1)+lambda x_(2)+x_(3)=0x_(1)+x_(2)+

非齐次线性方程组-2(x)_(1)+(x)_(2)+(x)_(3)=-2-|||-__ __-|||-_(1)-2(x)_(2)+(x)_(3)=lambda

当（ ）时，齐次线性方程组 ) (5-lambda )(x)_(1)+2(x)_(2)+2(x)_(3)=0 2(x)_(1)+(6-lambda )

[题目]线性代数λ取何值时,非齐次线性方程组-|||-(λ +x2+x.3=1 { x1+lambda x2+x =lambda { x1+x2+-|||-l