Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 10 - Systems of Equations and Inequalities - Section 10.3 Systems of Linear Equations: Determinants - 10.3 Assess Your Understanding - Page 760: 3



Work Step by Step

We know that the zero matrix is made up of all zeroes, and their determinant will also be $0$. Let us consider an example: $\triangle = \left|\begin{array}{ll} -1 & 2\\ 4 & -8 \end{array}\right|=8-8=0$ So, our statement is false.
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