Find a basis and the dimension of the subspace W of P3 {ax + bx2 + cx + d) defined byW= {p€P3: p'(1)= 0).O*B-+x?,, omension = 2B={x+x, x?-3x}, dimension = 2Ocg-x x. 2), amonsion = 3d. none of theseO*B=x + x, 1), dimension - 2

Find a basis and the dimension of the subspace W of P3 {ax + bx2 + cx+ d)defıned by W = {pEP3: p'(1) =0). O*B-{극x+x2, 글x'+ x}. oimension-2 B%=x+ x, x?-3x}, aimension = 2 * * x. 2), dimension = 3 B O d. none of these B-{*x.1), dimension-2

Find a basis and the dimension of the subspace W of P3 {ax + bx2 + cx+ d)defıned by W = {pEP3: p'(1) =0). OB-{극x+x2, 글x'+ x}. oimension-2 B%=x+ x, x?-3x}, aimension = 2 * x. 2), dimension = 3 B O d. none of these B-{*x.1), dimension-2

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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Question

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Find a basis and the dimension of the subspace W of P3 {ax + bx2 + cx + d) defined by
W= {p€P3: p'(1)= 0).
O*B-+x?,, omension = 2
B={x+x, x?-3x}, dimension = 2
Ocg-x x. 2), amonsion = 3
d. none of these
O*B=x + x, 1), dimension - 2

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