# Math Help - Bases for R2

1. ## Bases for R2

Course: Linear Algebra

So I have the set $\left\{(0,0) , (1,3)\right\}$ which I will call S.

I'll have the system:

$c_2 = x_1$
$3c_2 = x_2$

Which gives me $c_2 = x_1 = \frac{1}{3}x_2$

Can this mean that span(S) = R2?
Is the zero vector redundant?