Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 2 - Matrices and Systems of Linear Equations - 2.7 Elementary Matrices and the LU Factorization - True-False Review - Page 186: a

Answer

True

Work Step by Step

The inverse of the original matrix is always an elementary matrix when using the reverse elementary row operation. This is due to the fact that any elementary matrix has a reversible elementary row operation. Hence, the statement is true.
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