7. Prove that the vector length is preserved by orthogonal matrix multiplication. That is , if x E " and Q e R™ be orthogonal, then Ox|, =|x|, (isometry lemma).
7. Prove that the vector length is preserved by orthogonal matrix multiplication. That is , if x E " and Q e R™ be orthogonal, then Ox|, =|x|, (isometry lemma).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 24E
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