the math editor, Let V=R® , the vector space of ordered 5-tuples of real numbers with usual addition and scalar multiplication. Let W be the subset of V consisting of all 5-tuples u = (a, 0, b, 2a- b, a+3b). PROVE that W satisfies the closure under addition property, that is if u and v are in W then u+v is in W You need to type in your proof, but you do NOT have to use the math equation editor.
the math editor, Let V=R® , the vector space of ordered 5-tuples of real numbers with usual addition and scalar multiplication. Let W be the subset of V consisting of all 5-tuples u = (a, 0, b, 2a- b, a+3b). PROVE that W satisfies the closure under addition property, that is if u and v are in W then u+v is in W You need to type in your proof, but you do NOT have to use the math equation editor.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 37E: Let V be the set of all positive real numbers. Determine whether V is a vector space with the...
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