Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 3 - Section 3.5 - Determinants and Cramer’s Rule - Exercise Set - Page 240: 2

Answer

The answer is $ -16$.

Work Step by Step

We know that for a matrix $\begin{bmatrix} a & b\\ c & d \end{bmatrix}$ the determinant is $ D=ad−bc$. the given determinant is $\begin{vmatrix} 4 & 8\\ 5 & 6 \end{vmatrix}$ Hence, $D=4 \cdot 6-8\cdot5 =24-40=-16 $
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