Answer
False
Work Step by Step
In the $LU$ factorization of a matrix $A$, the matrix $L$ is a unit lower triangular matrix but the matrix $U$ is not neccessary be a unit upper triangular matrix. 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: i
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