MATH235 Study Guide - Final Guide: Triangular Matrix, Orthogonal Matrix, Symmetric Matrix

• School: University of Waterloo
• Department: Mathematics
• Course: MATH235
• Professor: Ghazal Geshnizjani

Document Summary

Due: wednesday nov 18th: find the maximum and minimum of q(~x) = 7x2. 2 subject to k~xk = 1: for each quadratic form q(~x), determine the corresponding symmetric matrix a. By diagonalizing a, express q(~x) in diagonal form and give an orthogonal matrix that diago- nalizes a. classify each quadratic form. (a) q(x1, x2) = 3x2. 3: sketch the graph of each of the following equations showing both the original and new axes. For any hyperbola, nd the equation of the asymptotes. (a) 11x2.