1. The problem statement, all variables and given/known data Classify the quadratic surface: 2x^2 + 4y^2 - 5z^2 + 3xy - 2xz + 4yz = 2 2. Relevant equations A quadratic form is a second degree polynomial equation in three variables which has the form F(x,y,z) = ax^2 + by^2 + cz^2 + 2dxy + 2exz + 2fyz where coefficients a through i are real numbers. The curve F(x,y,z) = j can be written in the form (x^T)*A*x = j where x = [x, y, z] A = [a, d, e] [d, b, f] [e, f, c] 3. The attempt at a solution A = [2, 3/2, -1] [3/2, 4, 2] [-1, 2, -5] Then, find the eigenvectors of A-tI...check how many are positive, negative, or 0 and classify using the information? Is that the right way to proceed?