Let C = [Cij] be an n x n positive definite symmetric matrix and let V be

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Let C = [Cij] be an n x n positive definite symmetric matrix and let V be an n-dimensional vector space with ordered basis S = {u1, u2,... un}. For v = a1u1+ a2u2+...+anun and w = b1u1+b2u2+ ... + bnun in V define

Prove that this defines an inner product on V.

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Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

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Question Posted: Jun 21, 2016 07:07 AM

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Let C = [Cij] be an n x n positive definite symmetric matrix and let V be

Question:

aiCijbi

Step by Step Answer:

We must verify Definition 52 for We choose to use the matrix formulation of this inner product wh...View the full answer

Elementary Linear Algebra with Applications

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