My Math Forum Proof AB = 0 ? B = 0, A invertible

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 November 23rd, 2008, 05:34 AM #1 Newbie   Joined: Nov 2008 Posts: 3 Thanks: 0 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.
 November 23rd, 2008, 01:58 PM #2 Senior Member   Joined: Oct 2007 From: Chicago Posts: 1,701 Thanks: 3 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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# a>0,b>0 prove that ab>0

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