Mathematics
Mathematics, 18.06.2020 03:57, chaaaa

Consider the set of all real triples of the form (a, b, c) where c = a - 2b under the usual vector addition and scalar multiplication of R. This same candidate for a Vector Space (or Subspace of RS) is used in other questions in this part of the quiz. Let v1 = (a, b 1, C1), v2 = (a2, b2, C2), V3 = (a 3, 63, C3) be vectors in set V (pay attention to the definition of vectors in this set), and k and m scalars to to show the following: Any of the other 8 axioms for the definition of a general vector space holds. Your choice. Be clear on the axiom you are proving and that your work is clear, complete and flows in a logical progression.

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Consider the set of all real triples of the form (a, b, c) where c = a - 2b under the usual vector a...

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