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November 23rd, 2008, 06:34 AM   #1
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Proof AB = 0 ? B = 0, A invertible

How do I go about proving this? That if A is an invertible matrix then AB = 0 ? B = 0? And what about this: AX = AY ? X = Y? Thanks.
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November 23rd, 2008, 02:58 PM   #2
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Re: Proof AB = 0 ? B = 0, A invertible

Since A is invertible, you can multiply by A^(-1) on the right side of each expression... that's it. Do that, and the proof will follow.
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