1. The problem statement, all variables and given/known data We know that X= (1 over 3)e^t+(4 over -4) te^t is a solution to X'=(2 1 over -1 0)X. Verify that the solution vectors are linearly independent on (-∞,∞). 2. Relevant equations I know that the wronskian of the solution vectors cannot be 0 if they are linearly independent. 3. The attempt at a solution So I found X1=(1 over 3) e^t and X2= (4 over -4)te^t when i did the wronskian i did.. l e^t 4te^t l l 3e^t -4te^t l I got -16te^(2t). this would be 0 at t=0. Am i missing something? i figured that it should be independent because it says to verify that it is... are these linearly dependent? thanks to any one for the help!