Let u = (u1, u2) and v = (v1, v2). Determine which of the following are inner

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Let u = (u1, u2) and v = (v1, v2). Determine which of the following are inner products on For those that are not, list the axioms that do not hold.
(a) (u, v) = u11
(b) (u, v) = |u1|2|v1|2 + |u2|2|v2|2
(c) (u, v) = 2u11 + iu12 - iu21 + 2u22

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Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

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Question Posted: Jun 17, 2016 08:17 AM

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Let u = (u1, u2) and v = (v1, v2). Determine which of the following are inner

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a This is not an inner product on C 2 Axioms 13 are easily checked Moreover u u u 1 1 u 1 0 Howev...View the full answer

Elementary Linear Algebra with Applications

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