Show that the following is linearly independent or express one of the vectors in the set as a linear combination of the others.

{[2,1],[3,2],[1,2]}

Ok, this is what I had:

C_1*V_1 + C_2*V_2+.....+C_N*V_N = 0

2C_1+3C_2+C_3=0

C_1+2C_2+2C_3=0

But the thing is that I can't figure out how to use the method of elimination here. Help?