Answer
False
Work Step by Step
Upper triangular matrices have pivot entries other than the value $1$. A $2*2$ matrix with first element $2$ and rest $0$ can be an example of this type of form.
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 - 2.4 Row-Echelon Matrices and Elementary Row Operations - True-False Review - Page 155: b
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