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lubricarret
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Homework Statement
Let A=
[-1 4
3 -12]
Find two 2x2 matrices B and C such that AB=AC but B does not equal C .
Homework Equations
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!