Differential Equations and Linear Algebra (4th Edition)

Published by Pearson

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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