2. Let V P3(R) and F = R. If W1 W2 = {p(x) E P3(R) | p(1) = 0}, then {p(x) € P3(R) | p(0) = 0} and %3D (a) find a basis of W1nW2. (b) find a basis and dimension of W1 + W2.
2. Let V P3(R) and F = R. If W1 W2 = {p(x) E P3(R) | p(1) = 0}, then {p(x) € P3(R) | p(0) = 0} and %3D (a) find a basis of W1nW2. (b) find a basis and dimension of W1 + W2.
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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Transcribed Image Text:2. Let V = P3(R) and F = R. If W1
W2 = {p(x) E P3 (R) | p(1) = 0}, then
{p(x) € P3(R) | p(0) = 0} and
%3D
%3D
(a) find a basis of W1n W2.
(b) find a basis and dimension of W1 + W2.
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