Elementary Linear Algebra 7th Edition

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

Chapter 3 - Determinants - 3.3 Properties of Determinants - 3.3 Exercises - Page 125: 24

Answer

nonsingular

Work Step by Step

Since one can see easily that $$\left|\begin{array}{rrr} 0.8& 0.2&- 0.6& 0.1\\ - 1.2& 0.6& 0.6&0\\ 0.7&- 0.3& 0.1&0 \\ 0.2&- 0.3& 0.6&0 \end{array}\right|=0.015,$$ then the matrix $$\left[\begin{array}{rrr} 0.8& 0.2&- 0.6& 0.1\\ - 1.2& 0.6& 0.6&0\\ 0.7&- 0.3& 0.1&0 \\ 0.2&- 0.3& 0.6&0\end{array}\right]$$ is nonsingular.
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