Ponder This 11.3.1.1. Give a geometric argument that Jacobi rotations exist. For this exercise, you need to remember a few things: e How is a linear transformation, L, translated into the matrix A that represents it, Az = L(z)? What do we know about the orthogonality of eigenvectors of a symmetric matrix? If Ais not already diagonal, how can the eigenvectors be chosen so that they have unit length, first one lies in Quadrant | of the plane, and the other one lies in Quadrant II? e Draw a picture and deduce what the angle 8 must be