- #1

Mohamed Abdul

## Homework Statement

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.

## Homework Equations

Gaussian elimination method given here: mathworld.wolfram.com/GaussianElimination.html

## 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.