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## Homework Statement

I was wondering if someone could explain the easiest way to determine if a set S spans V?

some example questions would be: show that S = {v1, v2, v3, v4} spans R4 where

v1 = [1 0 +1 0]

v2 = [0 1 -1 2]

v3 = [0 2 +2 1]

v4 = [1 0 0 1]

## Homework Equations

## The Attempt at a Solution

I know that you need to let x = [a, b, c, d] be any vector in R4 and form an eqn like

a1v1 + a2v2 + a3v3 + a4v4 = x

but now I'm lost... please help!