Prove that if f = f1(x) + i f2(x) and g = g1(x) + ig2(x) are vectors

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Prove that if f = f1(x) + i f2(x) and g = g1(x) + ig2(x) are vectors in complex C[a, b] then the formula

defines a complex inner product on C[a, b].

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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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Prove that if f = f1(x) + i f2(x) and g = g1(x) + ig2(x) are vectors

Question:

1(x)i2(x)][gi( Ja

Step by Step Answer:

We check Axioms 2 and 4 For Axiom 2 we have For Axiom 4 we have Since f 2 0 ...View the full answer

Elementary Linear Algebra with Applications

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