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: 3

Answer

\[ MN= \left[ {\begin{array}{cc} OW+IY&OX+IZ\\ IW+OY&IX+OZ \end{array} } \right] \]

Work Step by Step

The product of \[ M= \left[ {\begin{array}{cc} 0&I \\ I&O \end{array} } \right] \] and \[ N= \left[ {\begin{array}{cc} W&X\\ Y&Z \end{array} } \right] \] is \[ MN= \left[ {\begin{array}{cc} OW+IY&OX+IZ\\ IW+OY&IX+OZ \end{array} } \right] \]
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