murielg

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

A=[1,3,1;2,6,2;-2,-5,0;1,4,3]

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
{[1,3,1]^T, [-1,-5,0]^T}

the basis for the nullspace is
(5,-2,1)T



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