- #1

- 65

- 0

## Homework Statement

Determine whether set S = {2a,-4a+5b,4b| aε R ^ bε R} is a subspace of R3?

If it is a subspace of R3, find the dimension?

## Homework Equations

dimension= n if it forms the basis of Rn, meaning that its linear independent and span(S) = V

## The Attempt at a Solution

I am confused on really where to start on this problem.

What do I do with the a's and b's? I have only done problems like this with real values for the vectors. What is the first step in determining if this is a subspace?