College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Review Exercises - Page 634: 19

Answer

See below.

Work Step by Step

We know that if a matrix's determinant is $0$, then it is singular. We know that for a matrix \[ \left[\begin{array}{rr} a & b \\ c &d \\ \end{array} \right] \] the determinant, $D=ad-bc.$ Hence here $D=4\cdot2-(-8)\cdot(-1)=8-8=0.$ Thus the matrix is singular.
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