Answer
a. False
b. True
c. True
Work Step by Step
a. c must be nonzero
b. True by the Gram Schmidt process
c. True because $Q^TQ=I$, so $Q^TA=Q^T(QR)=R$
Linear Algebra and Its Applications (5th Edition)
by Lay, David C.; Lay, Steven R.; McDonald, Judi J.
Published by
Pearson
ISBN 10:
032198238X
ISBN 13:
978-0-32198-238-4
Chapter 6 - Orthogonality and Least Squares - 6.4 Exercises - Page 361: 17
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