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 CV by W = {ao + a1x + a2x² : ao, a1, a2 E R with ao > 7} Which one of the following statements is true? O a. W is not closed under either addition or scalar multiplication O b. W is closed under addition, but not under scalar multiplication O c. W is a subspace of V O d. W is closed under scalar multiplication, but not under addition
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 CV by W = {ao + a1x + a2x² : ao, a1, a2 E R with ao > 7} Which one of the following statements is true? O a. W is not closed under either addition or scalar multiplication O b. W is closed under addition, but not under scalar multiplication O c. W is a subspace of V O d. W is closed under scalar multiplication, but not under addition
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 7EQ
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