Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 3 - Determinants - 3.1 The Definition of the Determinant - Problems - Page 206: 22

Answer

$19$

Work Step by Step

For any matrix \[ \left[ {\begin{array}{cc} a & b \\ c & d \\ \end{array} } \right] \] the determinant equals $ad-bc$. For the matrix \[ \left[ {\begin{array}{cc} 1 & 4 \\ -4 & 3 \\ \end{array} } \right] \] the determinant equals $1(3)-(-4)(4)=19.$
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