Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - Cumulative Review - Page 848: 15



Work Step by Step

For a 3x3 matrix: \[ \left[\begin{array}{rrr} a & b & c \\ d &e & f \\ g &h & i \\ \end{array} \right] \] The determinant is given by: $D=a(ei-fh)-b(di-fg)+c(dh-eg).$ Hence here $D=0(13\cdot(-1)-(-4)\cdot4)-5(10\cdot(-1)-(-4)\cdot(-5))+2(10\cdot4-13\cdot(-5))=0(3)-5(-30)+2(105)=360.$
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