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: 6

Answer

The answer is $ 26$.

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} 1 & 3\\ -8 & 2 \end{vmatrix} $ Hence, $D=1 \cdot 2-3\cdot (-8) =2+24=26 $.
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