The Wronskian of two functions is $W(t) = t^2 - 4$. Are these functions linearly dependent?
I don't think they are, since the Wronskian is only equal to zero when $t = 2$ or $t = -2$. I'm not sure though, since the Wronskian has thus far only been used in my class for functions of which we know they're solutions to a differential equation.
Question: Can you conclude that these functions are linearly independent because their Wronskian is only equal to zero at a couple of points?