Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - Cumulative Test for Chapters 9-11 - Page 845: 20

Answer

$84$

Work Step by Step

We know that for a matrix \[ \left[\begin{array}{rrr} a & b & c \\ d &e & f \\ g &h & i \\ \end{array} \right] \] the determinant is $D=a(ei-fh)-b(di-fg)+c(dh-eg).$ Hence here $D=8(3\cdot4-(-1)\cdot6)-0(1\cdot4-(-1)\cdot(-2))+(-5)(1\cdot6-3\cdot(-2))=8\cdot18-0\cdot2-5\cdot12=144-60=84.$
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