Consider the weighted inner product (v, w) = v1w1 + 1/2v2w2 + 1/3v3w3 on R3. (a) What

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Consider the weighted inner product (v, w) = v1w1 + 1/2v2w2 + 1/3v3w3 on R3.
(a) What are the conditions on the entries of a 3 × 3 matrix A in order that it be self-adjoint?
(b) Write down an example of a non-diagonal self- adjoint matrix.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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