Let a = (a. b, c)T R3 be a fixed vector. Prove that the cross product

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Let a = (a. b, c)T ∈ R3 be a fixed vector. Prove that the cross product map La[v] = a × v, as defined in (5.2), is linear, and find its matrix representative.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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