Hi guys,

My problem states:

Let $\displaystyle A$ be an augmented matrix of size m x m+1 (that is to say, the coefficient matrix of the system is square and of size m x m), and $\displaystyle A$ has all non-zero entires. Prove or disprove that this system is consistent and, in fact, has one and only one solution.

Any quick hints as to how to start this problem?

Thanks!

James