# Math Help - Linear Dependence/Independence

1. ## Linear Dependence/Independence

The question asks me to determine whether the given set of functions is linearly dependent or linearly independent. If they are linearly dependent I must find a linear relation among them.

$f_{1}(t)=2t-3, f_{2}(t)=t^2+1, f_{3}(t)=2t^2-1, f_{4}(t)=t^2+t+1$

So I computed to the 4th derivative of each one of these, and then put them in a 4x4 matrix, in order to solve the Wronskian and see if its nonzero. My only question is, how do I go about solving this 4x4 matrix?

Is there an easier way to do this problem/finding linear dependence and independence?

2. Row reduction would be the easiest way I think. Row reduce the 4x4 and see if you get a row of all zeroes. If you do, then you have a dependent system. If you do not get a row of all zeroes, then you have linear independence.

In your case it looks like you have linear independence.