Show that if A and B are orthogonal matrices, then ABis an orthogonal matrix.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 10E: Find two nonzero matrices A and B such that AB=BA.
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Show that if A and B are orthogonal matrices, then AB
is an orthogonal matrix.

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