Repeat Exercise 5.1.1, but use the weighted inner product (v, w) = v1w1 + 1/9 v2 w2

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Repeat Exercise 5.1.1, but use the weighted inner product (v, w) = v1w1 + 1/9 v2 w2 instead of the dot product.
Exercise 5.1.1.
Let R2 have the standard dot product. Classify the following pairs of vectors as
(i) Basis,
(ii) Orthogonal basis, and/or
(iii) Orthonormal basis:
(a)
Repeat Exercise 5.1.1, but use the weighted inner product (v,

(b)

Repeat Exercise 5.1.1, but use the weighted inner product (v,

(c)

Repeat Exercise 5.1.1, but use the weighted inner product (v,

(d)

Repeat Exercise 5.1.1, but use the weighted inner product (v,

(e)

Repeat Exercise 5.1.1, but use the weighted inner product (v,

(f)

Repeat Exercise 5.1.1, but use the weighted inner product (v,
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Related Book For  book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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