Let p1(t) = 1+ t², p2(t) = t – 3t², p3(t) = 1 +t – 31² (a) Show that B = {p1(t), p2(t), p3(t)} forms a basis for P2. (b) Given [qt)]s = find [q(t)] in the standard basis. (c) Find [s(t)]g where [s(t)] = 3 – 2t + 6t² %3D
Let p1(t) = 1+ t², p2(t) = t – 3t², p3(t) = 1 +t – 31² (a) Show that B = {p1(t), p2(t), p3(t)} forms a basis for P2. (b) Given [qt)]s = find [q(t)] in the standard basis. (c) Find [s(t)]g where [s(t)] = 3 – 2t + 6t² %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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