{[1,2,3]^{T},[4,5,6]^{T},[7,8,9]^{T}} inR^{3}

So, I've learned that for a set of vectors to be a basis it has to satisfy 2 of 3 of the following rules (if it meets two, the third is given):

1.) Must be linearly independent

2.) Must be a spanning set

3.) the set has dimension(V) elements

I've shown that the set isnotlinearly independent so it doesn't meet #1.

The set does meet #3.

I am running in to some confusion on how to test if it is a spanning set. Would I set up an augmented matrix and solve to test for consistency?

Also, I had previously thought that if a set was LI, then it could not be a basis...