Consider the quadric surface given by 165 296 x y +60 xz+79 y2 + 36 y z +148 z2 = 3136 (a) Express this equation in the form x Ax=3136 where A is a symmetric matrix and x = (:) Enter the matrix A in the box below ab sin (a) a dx f a Note: Use sqrt command when necessary. E III ? (b) You are given that the matrix A has eigenvalues 49, 196 and 147. Hence the equation of the surface in terms of its principal axes X, Yand Z can be written as 49 X2 + 196 Y2+147 Z2 = 3136 Enter the shortest distance, in Maple syntax, from the origin to the surface in the box below. .