Determine whether the following set is a real vector space (and select what fails if it is not). The set of all polynomials of degree s2 (i.e. ax2 + bx + c, a, b, c reals) | Closure under Addition Closure under Scalar Multiplication Commutativity of Addition Associativity of Addition Existence of Zero Vector | Existence of Additive Inverses O Multiplicative Identity Associativity of Scalar Multiplication Distributivity over Vector Addition Distributivity over Scalar Addition The set is a real vector space.

Determine whether the following set is a real vector space (and select what fails if it is not). The set of all polynomials of degree s2 (i.e. ax2 + bx + c, a, b, c reals) | Closure under Addition Closure under Scalar Multiplication Commutativity of Addition Associativity of Addition Existence of Zero Vector | Existence of Additive Inverses O Multiplicative Identity Associativity of Scalar Multiplication Distributivity over Vector Addition Distributivity over Scalar Addition The set is a real 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 7EQ

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