I have a doubt: can you say, for sure, that every space generated by two linear independente vectors with two components generate $\mathbb{R^2}$?
For example: $L$ {$(1,1),(0,2)$} = $\mathbb{R^2}$
(which means that this type of vectors are always a basis of $\mathbb{R^2}$)
Am I correct to admit this as always true?
Thanks!