If Q1 and Q2 are orthogonal matrices, then Q1Q2 is also an orthogonal matrix.

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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 12:55 AM

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Let A = Q1R1 = Q2R2, where Q1 and Q2 are orthogonal and R1 and R2 are both upper triangular and nonsingular. (a) Show that QT1Q2 is diagonal. (b) How do R1 and R2 compare? Explain.
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If Q1 and Q2 are orthogonal matrices, then Q1Q2 is also an orthogonal matrix.

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The statement is true In general an n n matrix Q i...View the full answer

Linear Algebra with Applications

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