Originally Posted by

**Jonroberts74** Having some LaTeX issues so this might look a bit off

let $\displaystyle e_1$= (1,0) and $\displaystyle e_2$ = (0,1) Show that for every $\displaystyle X$ $\displaystyle \in$ $\displaystyle R^2$, there exist unique scalars

$\displaystyle \alpha$ and $\displaystyle \beta$ such that $\displaystyle X$ = $\displaystyle \alpha$$\displaystyle e_1$ + $\displaystyle \beta$$\displaystyle e_2$

would this be $\displaystyle \alpha$(1,0) + $\displaystyle \beta$(0,1) = ($\displaystyle \alpha$, 0) + (0, $\displaystyle \beta$) = ($\displaystyle \alpha$, $\displaystyle \beta$) = $\displaystyle X$

I'll start there, there are two more parts to the question but I will see if I have this part first.