Is the set of all fifth degree polynomials a vector space? Answer Choices: A) Yes, the set of all vector space axioms are satisfied for every u, v, and w in V and every scalar c and d in R. B) No, the set is not a vector space because the set is not closed under addition. C) No, the set is not a vector space because the set does not contain a zero vector. D) Yes, the set is closed under addition and scalar multiplication so the set is a vector space.

Is the set of all fifth degree polynomials a vector space? Answer Choices: A) Yes, the set of all vector space axioms are satisfied for every u, v, and w in V and every scalar c and d in R. B) No, the set is not a vector space because the set is not closed under addition. C) No, the set is not a vector space because the set does not contain a zero vector. D) Yes, the set is closed under addition and scalar multiplication so the set is a vector space.

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 17EQ

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