1. The problem statement, all variables and given/known data Does the following set of linear equations have a unique solution? (excluding any trivial solutions when x=y=z=0) Do not attempt to formally solve the equations. x+2y-4z=8 4x-6y+12z=19 -6x+3y-6z=-20 2. Relevant equations 3. The attempt at a solution My immediate thought would be to solve the equations using Cramers Rule. However, it states not to formally solve the equations. So I assume I'm not allowed to do this. So what does the question mean me to do?