1. Determine a basis for the nullspace Nul(A). Work carefully, you will use this part to answer 2., 3. and 4 .
2. Deduce the dimensions of the four subspaces Nul(A),Col(A),Col(AT) and Nul(AT).
3. Find a basis for the column space, Col(A).
4. Find a basis for the row space, Col(A T).
5. Find a basis for the left nullspace, Nul(A T).