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 - Test - Page 251: 18

Answer

$-10.$

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, $D=a(ei-fh)-b(di-fg)+c(dh-eg).$ Hence here $D=3(0\cdot5-(-3)\cdot2)-4((-1)\cdot5-(-3)\cdot4)+0((-1)\cdot2-0\cdot4)=3(6)-4(7)+0(-2)=-10.$
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