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: 25



Work Step by Step

If $A$ and $B$ are $n\times n$ matrices, then $det(AB)=det(A)det(B)$. Also $det(A^T)=det(A)$. Hence here $det(A^TB)=det(A^T)det(B)=det(A)det(B)=3(-4)=-12$.
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