Linear Algebra and Its Applications, 4th Edition

Published by Brooks Cole
ISBN 10: 0030105676
ISBN 13: 978-0-03010-567-8

Appendix A - Intersection, Sum, and Product of Spaces - Problem Set - Page 421: 13

Answer

$A_{3D}=(A_{1D}{\oplus I}\oplus I)+(I\oplus A_{1D}{\oplus I})+(I {\oplus I}\oplus A_{1D})$$

Work Step by Step

As we know that: The first dimension : $(A_{1D}{\oplus I}\oplus I)$ The seconddimension : $(I\oplus A_{1D}{\oplus I})$ The third dimension : $(I {\oplus I}\oplus A_{1D})$ Just sum all directions, we get $A_{3D}=(A_{1D}{\oplus I}\oplus I)+(I\oplus A_{1D}{\oplus I})+(I {\oplus I}\oplus A_{1D})$
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