This is my HW (Linear algebra 2) and I need to find projection matrix, kernel and image of the projection.
V=$R^2$
So I have: subspace of V
$sp{(2,-3)}$
Than I found the projection matrix is:
$ \begin{matrix} 4/13 & -6/13\\ -6/13 & 9/13 \\ \end{matrix} $
but now I need to find kernel and image... I don't remember how to do that and I searched and google and I know I saw I need to find Ax=0 So is my kernel is 0?! I don't totally understand this