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Prove that a subset W of a vector space; V is a subspace of V if and only if 0 W and ax
Chapter 1, Problem 18(choose chapter or problem)
QUESTION:
Prove that a subset W of a vector space; V is a subspace of V if and only if 0 W and ax + y W whenever a F and x. y W
Questions & Answers
QUESTION:
Prove that a subset W of a vector space; V is a subspace of V if and only if 0 W and ax + y W whenever a F and x. y W
ANSWER:Step 1 of 3
Consider is a subspace. It is given that and also and then:
Thus,