Algebra 2 (1st Edition)

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

Chapter 3 Linear Systems and Matrices - 3.7 Evaluate Determinants and Apply Cramer's Rule - 3.7 Exercises - Skill Practice - Page 207: 21

Answer

Option D

Work Step by Step

Determinant of (A): $D_A=(-4).3-6.1=-18$ Determinant of (B): $D_B=1.8-6.3=-10$ Determinant of (C): $D_C=5.(-1)-7.(-3)=16$ Determinant of (D): $D_D=5.5-1.(-2)=27$ Therefore, D is the greatest determinant.
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