I'm just starting out with linear algebra, and in my book there is an exercise I don't really get. Until now all I have learned is to solve simple linear systems.

Determine the value(s) ofhsuch that the matrix is the augmented matrix of a consistent linear system.

I've been messing around with it for a while but there just seems to be too many unknowns. What's the obvious thing I am missing here? Any tips on how to solve this type of problem?