Let u 1 , . . . , u n and u 1 , . . .

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Let u₁, . . . , u_n and û₁, . . . , û_nbe orthonormal bases of an inner product space V.

Prove that is an orthogonal matrix.

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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Question Posted: Apr 21, 2023 02:40 PM

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Let u 1 , . . . , u n and u 1 , . . .

Question:

ū₂ = n Σ qij¹j j=1 qiju, for i = 1,..., n, where Q = (ij)

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ANSWER To prove that the matrix Q qij is an orthogonal matrix we need to show that QQT I where I is ...View the full answer

Applied Linear Algebra

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