four sub-spaces of a matrix A

Hi,

I am in a class to learn some matlab and am struggling with a homework assignment. The question is as follows:

The questions examines the four sub-spaces of a matrix A,

A =

2 3 4

4 3 8

1 3 2

a) Describe the four sub-spaces and what they indicate about the solution space for A.

b) Draw a graph showing all four sub-spaces with the vectors from A.

c) What is the rank of the column space?

d) What is the rank of the null space?

e) What vectors map into the null space.

[Joseph Cheng]

Do you have any specific questions and what have you've tried so far? Otherwise i'll leave this here http://www.mathworks.com/matlabcentral/answers/8626-how-do-i-get-help-on-homework-questions-on-matlab-answers

[John D'Errico]

It looks like you are struggling with the math here, not the MATLAB anyway.

[Nicole]

this is my code. it is true i don't fully understand the question the professor is asking so I don't know if my solution makes sense

clc;
clear all;
close all;
A=[2,3,4;4,3,8;1,3,2];
% Bases of four fundamental vector spaces associated
% with the matrix A.
% cs- basis of the column space of A
% ns- basis of the nullspace of A
% rs- basis of the row space of A
% lns- basis of the left nullspace of A
[V, pivot] = rref(A)
r = length(pivot)
cs = A(:,pivot)
ns = null(A,'r')
rs = V(1:r,:)'
lns = null(A','r')