Question

Describe the kernel and range of (a) the orthogonal projection on the xz -plane (b) the orthogonal projection on the yz-plane (c) the orthogonal projection on the plane defined by the equation y=x ...?

Answer 1

b) As our projection is onto yz plane, the basis would be
(0,1,0) and (0,0,1)
while the Null space would be anything on the x axis.