Problem 4 Let A = cos 0 - sin 0 sin 0 cose and, for a line L passing through the origin of R, let B be the matrix corresponding to orthogonal projection to L. i) By using its geometric interpretation, write down the inverse of the matrix A. In one sentence state why B is not invertible. ii) State the kernel and image of A and B. (Hint: this is easiest if you directly use the definitions of kernel and image for the linear transformations, rather than work with A and B.)