Writing the collection of all linear relations between the vectors? $$
v_1 = \begin{bmatrix}
1\\
2\\
3\\
\end{bmatrix},\qquad v_2 = 
\begin{bmatrix}
1\\
3\\
5\\
\end{bmatrix},\qquad v_3 = 
\begin{bmatrix}
3\\
8\\
13\\
\end{bmatrix}, \qquad v_4 = 
\begin{bmatrix}
2\\
5\\
8\\
\end{bmatrix}
$$
The Question is asking to "Write the collection of all linear relations between the following collecitons of vectors?
I reduced the vectors to row echleon form which came out to be 
$$ \text{Row Echleon } =
\left[\begin{array}{cccc|c}
1&0&1&1 &0\\
0&1&2&1& 0\\
0&0&0&0 &0\\
\end{array}\right]
$$
And i figured out they are all linearly dependant, and this is where I am right now.. I just don't get the question.

The columns of your reduced matrix represent the same vectors, just in a different basis. Thus we can read off all relations from the reduced matrix we see
$$v_3=v_1+2v_2$$
and 
$$v_4=v_1+v_2$$
(Of course there are an infinite number of relations:
$$26v_1+33v_2-7v_3-10v_4=0)$$
But the collection of all relations is
$$a(v_1+2v_2-v_3)+b(v_1+v_2-v_4)=0$$
