# Matrix problem

nokia8650
Given that AB = BC, and that A is non-singular, prove that B =C.

I don't know how to do matrices in these forums, so where I write a matrix, I mean (a,b,c,d)

Given that A = (3,6,1,2) and B = (1,5,0,1), find a matrix C whose elements are all non zero.

I can easily do the second part of the question. I cannot understand the logic of the second part of the question - we have proved that B=C, how can C now be non equivalent to B?

Thanks

## Answers and Replies

VeeEight
Because the assumption in the first question is that A is non-singular