vector spaces homework question (rowspace and nullspace)
1. The problem statement, all variables and given/known data
Write x=(6,-1,-2)T as x=y+z where y belongs to null A and z belongs to row A
2. Relevant equations
The main question asks to find all the fundamental subspaces and their dimensions, which I have already found, and then asks me to find the question i posted above.
the basis for the row space is
the basis for the nullspace is
3. The attempt at a solution
I don't really know what the question is asking me to do... or how to begin to approach this problem.
If someone could please give me a hint on what they want me to do.
Thanks a lot