MATH 415 Study Guide - Final Guide: Scantron Corporation, And1, Unit Vector

• School: University of Illinois
• Department: Mathematics
• Course: MATH 415
• Professor: J Li

Document Summary

Fill in the following information on the scantron form: On the rst page of the scantron bubble in your name, your uin and your netid! On the back of the scantron bubble in the following: d, c. 1: (5 points) let p2 be the vector space of polynomials of degree at most 2. Consider the following sets of polynomials in p2. C = {1, 2t, t2, t2 t}. Which of these sets is a spanning set of all of p2? (a) none of them. (b) a only. (c) a, b and c. (d) b only. (e) b and c only. B is the standard basis of p2, hence spans p2. The span of a does not contain t2. Therefore c spans p2. at2 + bt + c = at2 + b. 2: (5 points) let b be a m m-matrix such that b t = b.