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 - 3.1 The Definition of the Determinant - Problems: 23

Answer

$0$

Work Step by Step

For any matrix \[ \left[ {\begin{array}{cc} a & b \\ c & d \\ \end{array} } \right] \] the determinant equals $ad-bc$. For the matrix \[ \left[ {\begin{array}{cc} e^{-3} & 3e^{10} \\ 2e^{-5} & 6e^8 \\ \end{array} } \right] \] the determinant equals $e^{-3}(6e^{8})-(2e^{-5})(3e^{10})=6e^5-6e^5=0.$
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