## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 3 Linear Systems and Matrices - Chapter Test - Page 227: 25

#### Answer

$-54$

#### 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 $D=-1(2\cdot-2-(-3)\cdot1)-3(0\cdot-2-(-3)\cdot5)+1(0\cdot1-2\cdot5)=-1(-1)-3(15)+1(-10)=-54.$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.