Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 3 - Determinants - 3.4 Summary of Determinants - Problems - Page 241: 24

Answer

$\frac{1}{3}$.

Work Step by Step

If $A$ and $B$ are $n\times n$ matrices, then $det(A^{-1})=\frac{1}{det(A)}$ if $det(A)\ne0$. Hence here $det(A^{-1})=\frac{1}{det(A)}=\frac{1}{3}$.
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