What is ? I know is the row space of .
For the following matrix, determine a basis for each of the subspace , , , and .
So I found the RREF of A to be
forms a basis for and forms a basis for .
Setting and I got
So x is a equal to the N(A)? This is where I am stuck, I don't know where to go from here or even if I begun my process correctly. Help would be greatly appreciated, thank you!
Suppose is in the nullspace of . By looking at the row space, it must satisfies the equation as you mentioned earlier. So are related as given in the equation. Can you write in term of only?
If you could do so, factor out , then you can easily see a basis element of .
Hope this helps.