增广矩阵求解方程组 增广矩阵方程组求解

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增广矩阵又称(扩增矩阵)就是在系数矩阵的右边添上一列,这一列是线性方程组的等号右边的值
分情况进行讨论.
设系数矩阵的秩为R(A),增广矩阵的秩为R(B).
当R(A)=R(B)=3,即-k^2+k+2不等于0,即k≠2且k≠-1时,方程组有唯一解.
当k=2时,R(A)=2,R(B)=3,方程组无解.
当k=-1时,R(A)=R(B)=2,方程组有无穷解.

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