MATH 461 Final: MATH461 BOYLE-M SPRING2006 0101 FINAL EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 461
• Professor: All

Document Summary

Math 461-01** spring 2006 final exam. Answer each question on a separate sheet of paper. On each sheet, put your name, your section leader"s name and your section meeting time. Put a box around your nal answer to each part. You must be careful on arithmetic check. You may assume given matrix equations are well de ned (i. e. the matrix sizes are compatible). No proof is needed for true-false questions. (a statement is true if it is true without exception. For a real number x it holds that x. 2: (24 pts) let t be the linear transformation from r4 to r3 de ned as t (x) = ax, where. Determine whether the quadratic form q(x) is positive de nite: (20 pts) let a = 0. Find a matrix p such that p 1ap is diagonal. 2: let w be the two-dimensional subspace of r3 spanned by the vectors w1 = (2, 0, 1) and w2 = (1, 2, 3).