Show that the standard basis vectors e1, e2, e3 form an orthogonal basis with respect to the

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Show that the standard basis vectors e1, e2, e3 form an orthogonal basis with respect to the weighted inner product (v, w) = v1 w1 + 2 u2 w2 + 3 v3 w3 on R3. Find an orthonormal basis for this inner product space.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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