I've started university lately and i'm currently taking a math class in linear algebra. I'm going well so far but i'm having some issues with solving a system of linear equations when there is a unknown value in the system of equation. I must be missing a point somewhere. but here i go.
x - 2y + 3z = 1
-3x + y - 3z = 2
-2x - y + (kČ -2k)z = k +3
I have to find k in order for the system to have at least one solution.
Any help would be appreciated as the more i try to solve it the more i get confused.
I think i'm getting confused by the (kČ-2k) section of the equation.