College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 6 - Matrices and Determinants - Exercise Set 6.5 - Page 653: 57

Answer

$aei+bfg+cdh-ceg-afh-bdi$

Work Step by Step

Consider the $3\times 3$ matrix: $A=\begin{bmatrix}a&b&c\\d&e&f\\g&h&i\end{bmatrix}$ Compute its determinant: $det A=\begin{vmatrix}a&b&c\\d&e&f\\g&h&i\end{vmatrix}$ $=aei+bfg+cdh-ceg-afh-bdi$
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