does l.i. stand for linearally independent?
I'm really getting confused
Is it because all the nescecary constants $\displaystyle a_1,a_2,a_3$ eqaul 0 and there's no such thing as $\displaystyle a_4$? and that makes it linearally independent?
also, a more general question: to find if a set of vectors is a basis, one must determine if they are linearally independent and span the given vector space. Since the procedure is the same for both of them, doesn't it mean that if the vectors span the given vector space it also implies that they are linearally independent, and vice versa? I say this because to show the vectors span R^n then the procedure is to try to put them in rref form. To show that they are linearally independent they need to be put in rref form.