Hi, I've been trying to figure out this problem, but I'm not quite sure how to go about it.
For any matrix A(m,n) show that the set of right hand sides b in R^m for which Ax = b is solvable is a subspace of R^m
Attempt at a solution:
I know how to prove the solvability of a specific linear system, but how can I show that is true for any matrix? (Assuming I need to)
Any help/advice will be much appreciated!