Hi, I have this question to solve.

Let f=exp(t), g=t, and h= 2+3t. Are f, g, and h linearly independent or linearly dependent?

I'm confused as to how I should figure this out. I understand that a set of vectors to be linearly independent, say v1=(1,2) and v2=(2,3), that the only solution for the system a+2b=0, 2a+3b=0 is for a=b=0 (i don't know if that is the case in the example i'm given). However, i'm confused as to how to go about the given problem. Thank you.