题目内容

设A是m×n阶矩阵,下列命题正确的是().

A. 若方程组AX=0只有零解,则方程组AX=b有唯一解
B. 若方程组AX=0有非零解,则方程组AX=b有无穷多个解
C. 若方程组AX=b无解,则方程组Ax=0一定有非零解
D. 若方程组AX=b有无穷多个解,则方程组AX=0一定有非零解

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