Answer
-10/9
Work Step by Step
The determinant of a 2x2 matrix can be determined using the formula ad-bc where $\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}$
In this matrix the determinant is:
(2/3)(1/3) - (-1)(-4/3) = 2/9 - 4/3 = -10/9
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 10 - 10.4 - The Determinant of a Square Matrix - 10.4 Exercises - Page 742: 22
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