求线性方程组_(1)+(x)_(2)+(x)_(3)+(x)_(4)=0-|||-_(2)+2(x)_(3)+2(x)_(4)=1-|||-_(1)+2(x)_(2)+3(x)_(3)+3(x)_(4)=1的通解(要求用其一个特解和导出组的基础解系表示)。

线性方程组 ) (x)_(1)+2(x)_(2)-2(x)_(3)=1 2(x)_(1)+4(x)_(2)-4(x)_(3)=2 3(x)_(1)+6(x)_

求非齐次线性方程组 ) (x)_(1)+(x)_(2)-3(x)_(3)-(x)_(4)=1 3(x)_(1)-(x)_(2)-3(x)_(3)+4(x)_(

如果线性方程组 ) 3(x)_(1)+k(x)_(2)-(x)_(3)=1 4(x)_(2)-(x)_(3)=2 4(x)_(2)+k(x)_(3)=3 .

3.求解线性方程组 ) (x)_(1)+2(x)_(2)-(x)_(3)+2(x)_(4)=1 2(x)_(1)+4(x)_(2)+(x)_(3)+(x)_(

例4 讨论线性方程组-|||- ) (x)_(1)+(x)_(2)+2(x)_(3)+3(x)_(4)=1 (x)_(1)+3(x)_(2)+6(x)_(3)

求齐次线性方程组 ) (x)_(1)+2(x)_(2)+(x)_(3)-(x)_(4)=0 3(x)_(1)+6(x)_(2)-(x)_(3)-3(x)_(4

设非齐次线性方程组 ) (x)_(1)+2(x)_(3)+(x)_(4)=2 (x)_(1)+(x)_(2)+(x)_(3)+4(x)_(4)=a (x)_(

求齐次线性方程组-|||- ) 2(x)_(1)+(x)_(2)-(x)_(3)+(x)_(4)-3(x)_(5)=0 (x)_(1)+(x)_(2)-(x)

[题目]设线性方程组 _(1)+(X)_(2)-(X)_(3)=-1-|||-(X)_(1)+K(X)_(2)-2(X)_(3)=0-|||-(X)_(1)+2

解线性方程组_(1)-2(x)_(2)+(x)_(3)=-2-|||-__ __-|||-(x)_(1)+(x)_(2)-3(x)_(3)=1-|||--(x)