# Homework Help: Linear system question

1. Oct 9, 2005

### tandoorichicken

Suppose A is a 3x3 matrix and y is a vector in $\mathbb{R}^3$ such that the equation Ax=y does not have a solution. Does there exist a vector z in $\mathbb{R}^3$ such that the equation Ax=z has a unique solution?

2. Oct 9, 2005

### Physics Monkey

How are you approaching the problem?