A是一个R阶方阵,B是一个R*N矩阵,秩(B)=R,AB=0,证A=0
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人气：302 ℃ 时间：2019-10-19 16:51:19
解答
由AB＝0,以及A的列数,B的行数是R,得：秩(A)＋秩(B)≤R,又秩(B)＝R,所以,秩(A)＝0,所以A＝0.
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