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Let A and B be n x n matrices and let C = AB. Prove that if B is singular then C must be singular.

(The hint they provided is to use this theorem : Equivalent conditions for nonsingularity. 1. A is singular. 2. Ax=0has only the trivial soultion 0. 3. A is row equivalent toI)

Please please help!!!

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# Singular / nonsingular question

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