Let V denote the set of ordered triples (x, y, z) and define addition in V in

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Let V denote the set of ordered triples (x, y, z) and define addition in V in R3. For each of the following definitions of scalar multiplication, decide whether V is a vector space.
(a) a(x, y, z) = (ax, 0, az)
(b) a(x, y, z) = (2ax, 2ay, 2az)

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:41 AM

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Let V denote the set of ordered triples (x, y, z) and define addition in V in

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a No S5 fails 1x y z 1x 0 1z x 0 z x y z for all x y z in ...View the full answer

Linear Algebra With Applications

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