Is the following solution to the matrix a zero subspace? (Assume that the last column of zeros is the constant portion of the matrix)
I'm working on some kernel problems, and if a linear transformation is one-to-one or not, I have to see if the kernel of the transformation is the zero subspace or not.
(If anything I said is unclear, assume that the first column is $x$ and second column is $y$ and third column is for constants. The first row says $x=0$, the second row says $y=0 $)