Answer
False
Work Step by Step
$LU$ factorization can be used on invertible matrices. The invertible matrix must be reduced to upper triangular form in this case, which can be accomplished without permuting rows. Hence, the statement is false.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
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: h
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