Detemine whether the set, M, with the standard operations, is a vector space. Ifit is not, then detemine the set of axioms that it fails. a) This set is not a vector space. It fails the following axioms. Commutative property Additive identity Distributive property b) This set is not a vector space. It fails the following axioms. Scalaridentity Associative property . Distributive property Additive identity c) This set is a vector space. All ten vector space axioms hold. d) This set is not a vector space. It fails the following axioms. Additive identity Additive inverse Associative property Scalaridentity
Detemine whether the set, M, with the standard operations, is a vector space. Ifit is not, then detemine the set of axioms that it fails. a) This set is not a vector space. It fails the following axioms. Commutative property Additive identity Distributive property b) This set is not a vector space. It fails the following axioms. Scalaridentity Associative property . Distributive property Additive identity c) This set is a vector space. All ten vector space axioms hold. d) This set is not a vector space. It fails the following axioms. Additive identity Additive inverse Associative property Scalaridentity
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 2EQ
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