APPM 2360 Midterm: appm2360spring2015exam2
Document Summary
On the front of your bluebook write: (1) your name, (2) your student id number, (3) recitation section, (4) your instructor"s name, and (5) a grading table. Books, class notes, cell phones, and calculators are not permitted. Problem 1: (30 points) consider the ode system in the rst quadrant (x 0, y 0) Problem 2: (30 points) consider the following linear system: x1 + x2 = x3 + x4 = 0. 3x1 + x2 + 2x3 + 2x4 = . Problem 3: (30 points) (a) (12 points) given the matrices: Nd the matrix c = a2 + 2ab + b 2. 1 0 (cid:21) and b = (cid:20) 2 1. 0 (b) (8 points) for the matrices in part (a), verify that (ab)t = b t at by computing both sides. (c) (10 points) for each of the following sets, state if it is a vector space or not.
