Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 2 - Matrix Algebra - 2.4 Exercises - Page 123: 2

Answer

\[ MN= \left[ {\begin{array}{cc} EA+0C & BE+OD\\ OA+FC&OB+FD \end{array} } \right] \]

Work Step by Step

The product of \[ M= \left[ {\begin{array}{cc} E& O \\ O&F \end{array} } \right] \] and \[ N= \left[ {\begin{array}{cc} A&B\\ C&D \end{array} } \right] \] is \[ MN= \left[ {\begin{array}{cc} EA+0C & BE+OD\\ OA+FC&OB+FD \end{array} } \right] \]
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