Describe the image and kernel of the transformation geometrically:
Orthogonal projection onto the plane x+2y+3z=0 in
Is the image just ? No idea how to find the kernel of this...
The kernel is when en element is taken to the zero element in the image.
So, say you have a transformation that takes something from:
The kernel of this transformation would be:
where 0 is the zero element in L.
So in your case, the kernel would be any elements in the orthogonal projection that get mapped to the 0 element.
Hope this helps a little.