Why "dependent?"
If the system of equations can be shown to have a unique solution, we'd call it "independent." Have you tried solving this system? I'd use matrix row operations to do that.
I found that the last row of this 3 by 4 matrix comes out to 0 0 0 0. This means that the system is DEPENDENT; it does not have a unique solution.
Please review the meaning of "independent" and of "dependent" in this matrix algebra context.
