(a) orthonormal basis of R". Prove that if A is orthogonal, then A is invertible, and that A-1 = AT. Recall that an orthogonal matrix is an n x n matrix whose columns are an

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
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(a)
orthonormal basis of R". Prove that if A is orthogonal, then A is invertible, and that
A-1 = AT.
Recall that an orthogonal matrix is an n x n matrix whose columns are an
Transcribed Image Text:(a) orthonormal basis of R". Prove that if A is orthogonal, then A is invertible, and that A-1 = AT. Recall that an orthogonal matrix is an n x n matrix whose columns are an
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