Let v, w be n Ã 1 column vectors. (a) Prove that in most cases the inverse

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Let v, w be n Ã— 1 column vectors.
(a) Prove that in most cases the inverse of the /; x n matrix A = I - vwT has the form A-1 = I- cvwT for some scalar c. Find all v, w for which such a result is valid.
(b) Illustrate the method when

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:25 AM

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Let v, w be n Ã 1 column vectors. (a) Prove that in most cases the inverse

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w=(-1) and

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a Note that wv T is a scalar and so AA 1 I vw T I c vw T I 1 cvw T ...View the full answer

Applied Linear Algebra

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