# Span of Vectors?

1. Sep 16, 2008

### MustangGt94

Not sure if this is "beyond" Calculus but the prereq for the class was Calc II so I thought i'd post here.

1. The problem statement, all variables and given/known data
Could a set of n vectors in Rm span all of Rm?

2. Relevant equations

None

3. The attempt at a solution
Hmm really stuck at this one. I think that it should be able to span since the only thing that matters is if you have a pivot point in each column? So even if you have say 3 vectors in R4 it could still span it, since you can have still have a pivot point in each of the column if the vectors allow it?

Thanks for the help.

2. Sep 16, 2008

### Dick

n<m, right? Can one vector span R2? Why or why not?