32. Let p, (t) = 1 +t², p2(t) = t – 3t², p3(t) = 1 +t – 3t2. || - - a. Use coordinate vectors to show that these polynomials form a basis for P2. b. Consider the basis B = {p1,P2, P3} for P2. Find q in P2, given that [q]B 1
32. Let p, (t) = 1 +t², p2(t) = t – 3t², p3(t) = 1 +t – 3t2. || - - a. Use coordinate vectors to show that these polynomials form a basis for P2. b. Consider the basis B = {p1,P2, P3} for P2. Find q in P2, given that [q]B 1
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 10EQ: In Exercises 7-10, show that the given vectors form an orthogonal basis for2or3. Then use Theorem...
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