(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let A=

[-1 4

3 -12]

Find two 2x2 matrices B and C such that AB=AC but B does not equal C .

2. Relevant equations

3. The attempt at a solution

I was going through my book, and am a bit confused with this problem. How would I solve this?

I know it's easy to prove AB = AC if B = C, as you could cancel the A's out by multiplying A^(-1) on each side if the matrix was invertible... but I'm not sure how to solve for the matrices B and C, given A if B cannot equal C. Any suggestions on how to begin this problem would be very helpful. Thanks!

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# Homework Help: Linear Algebra; AB=AC

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