Prove that if (v, w) and v, w are two different inner products on the same vector

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Prove that if (v, w) and «v, w» are two different inner products on the same vector space V. then their sum (((v, w))) = (v. w) + ((v. w)) defines an inner product on V.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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