If A, B, and C are nxn invertible matrices, does AB=AC mean B = C?
1 Answer
Oct 24, 2015
Yes. Just multiply both sides by
Explanation:
Matrix multiplication is associative, so if
#B = IB = (A^-1A)B = A^-1(AB) = A^-1(AC) = (A^-1A)C = IC = C#