设线性方程组(X)_(1)+(X)_(2)-(X)_(3)=-12(X)_(1)+K(X)_(2)-2(X)_(3)=0K(X)_(1)+2(X)_(2)+(X)_(3)=K(1)K为何值时,方程组有唯一解、无解.(2)K为何值时,方程组有无穷多解?并求出其通解.

设线性方程组${X}_{1}+{X}_{2}-{X}_{3}=-1$

$2{X}_{1}+K{X}_{2}-2{X}_{3}=0$

$K{X}_{1}+2{X}_{2}+{X}_{3}=K$

(1)K为何值时,方程组有唯一解、无解.
(2)K为何值时,方程组有无穷多解?并求出其通解.

参考答案与解析:

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