Need help on this question. Thank you :) Let V = P2 be the vector space of all polynomials of degree at most 2, with the usual definitions of addition and scalar multiplication,and define W C V byW :{@о + ajx + арx* : аo, ај, аz €R with do +ај +а2 —D 1}Which one of the following statements is true?W is a subspace of V.а.O b. W is not closed under either addition or scalar multiplication.c. W is closed under addition, but not under scalar multiplication.O d. W is closed under scalar multiplication, but not under addition.

Name: Need help on this question. Thank you :) Let V = P2 be the vector spac
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Description: Need help on this question. Thank you :) Let V = P2 be the vector space of all polynomials of degree at most 2, with the usual definitions of addition and scalar multiplication,and define W C V byW :{@о + ajx + арx* : аo, ај, аz €R with do +ај +а2 —D

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Let V = P2 be the vector space of all polynomials of degree at most 2, with the usual definitions of addition and scalar multiplication, and define W C V by W3D {@o + a х + а2х? : аo, aj, а, € R with ao + aj + a, — 1} Which one of the following statements is true? O a. W is a subspace of V. O b. W is not closed under either addition or scalar multiplication. W is closed under addition, but not under scalar multiplication. O d. W is closed under scalar multiplication, but not under addition. О с.

Let V = P2 be the vector space of all polynomials of degree at most 2, with the usual definitions of addition and scalar multiplication, and define W C V by W3D {@o + a х + а2х? : аo, aj, а, € R with ao + aj + a, — 1} Which one of the following statements is true? O a. W is a subspace of V. O b. W is not closed under either addition or scalar multiplication. W is closed under addition, but not under scalar multiplication. O d. W is closed under scalar multiplication, but not under addition. О с.

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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