Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 2 - Matrices - 2.3 The Inverse of a Matrix - 2.3 Exercises - Page 71: 12


Since $ad-bc=3-3= 0$, then $A$ has no inverse.

Work Step by Step

Let the matrix $A$ be given by $$A=\left[\begin{array}{ccc}{-1} &{1} \\{3}& {-3} \end{array}\right].$$ Since $ad-bc=3-3= 0$, then $A$ has no inverse.
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