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Mathematics 23 Online
OpenStudy (anonymous):

Let A and B be nxn matrices such that AB is singular. prove that either A or B is singular.

OpenStudy (zarkon):

Det(AB)=Det(A)Det(B) you have DET(AB)=0 thus Det(A)Det(B)=0 hence at least one of A and B had determinant zero...and thus is singular

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