Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 1 - Linear Equations in Linear Algebra - 1.8 Exercises - Page 70: 21

Answer

a. True. b. False c. False d. False e. True

Work Step by Step

a. Function from $R^n$ to $R^m$ are defined. A linear transformation has its unique properties. b. The domain is $R^5$ since domain is based on column not row. c. The range is the set of all linear combinations of the columns of A. d. Linear transformation is a kind of matrix transformation since linear also counted as $ 1 * N $ matrix e. Since it's linear, the factor can be factor out to form a linear equation
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