Use mathematical induction to show that if Q Rnm is both upper triangular and orthogonal, then

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Use mathematical induction to show that if Q ∈ Rn×m is both upper triangular and orthogonal, then qj = ±ej j = 1,..., n.

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 12:58 AM

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Use mathematical induction to show that if Q Rnm is both upper triangular and orthogonal, then

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The proof is by induction on n If n 1 then Q must be either 1 or 1 Ass...View the full answer

Linear Algebra with Applications

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