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 - 2.2 Matrix Algebra - True-False Review - Page 134: g

Answer

False

Work Step by Step

If $AB$ is upper triangular then it is not necessary that both $A$ and $B$ are upper triangular. Here on the right $AB$ is zero matrix so it is upper triangular. But $A$ and $B$ are not upper triangular.
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