1. The problem statement, all variables and given/known data Given the six vectors below: 1. Find the largest number of linearly independent vectors among these. Be sure to carefully describe how you would go about doing so before you start the computation. 2 .Let the 6 vectors form the columns of a matrix A. Find the dimension of and a basis for the column space of A. 3. Find the dimension of and a basis for the row space of A. 4. Find the dimension of and a basis for the null space of A. 5. Find the rank and the nullity of A. 2. Relevant equations Gaussian elimination method given here: mathworld.wolfram.com/GaussianElimination.html 3. The attempt at a solution For 1, I tried setting up a matrix using each of these vectors as rows. Then, after Gaussian elimination, I will see all the non-zero rows, adding them up, and having that be my largest number of linearly independent vectors. My question is what separates part 1 from part 2 of the problem, or if I'm even doing this correctly at all.