Recent content by caffeine19

after a few tryouts I managed to solve it. Thank you all.

so basically, : x.u + y.v = (a,b,c) abc can be any real number. yeah? am i on the right track? I really need help, this my weakest topic.

I get confused what to do first. The operations. I know how to find determinant, how to do gauss and so on. but I tend to mix them up in questions. which to use

the set of all possible linear combinations. I can give definition easily. I tend to get confused where to start.

I'm really sorry, but this confuses me even more. If u don't mind explaining further,.

but I have a question that asked me: consider the following vectors R3: u-(1,2,3) v-(-1,1,2). describe those 2 vectors for which they are a basis. give an example of another vectors besides u and v that belongs to the set for which u and v are a basis. I don't think I clearly get this question

Hey there I was just wondering? Can 2 vectors span R3? let's say I have i and j vectors. What are the examples that show i and j are the basis of R3 and span R3?