
Bases for R2
Course: Linear Algebra
So I have the set $\displaystyle \left\{(0,0) , (1,3)\right\}$ which I will call S.
I'll have the system:
$\displaystyle c_2 = x_1$
$\displaystyle 3c_2 = x_2$
Which gives me $\displaystyle c_2 = x_1 = \frac{1}{3}x_2$
Can this mean that span(S) = R2?
Is the zero vector redundant?

Re: Bases for R2
Hey MadSoulz.
Yes the zero vector is not necessary and you should know that the zero vector is linearly dependent to any other vector since 0*any_vector = 0 vector no matter what vector you use.

Re: Bases for R2