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A18.3 Note that if A and B are two diagonal matrices then AB = BA. Give an example of 2 x 2 matrices A and B which are non-diagonal and not multiples of each other, such that AB = BA. Explain and prove that it works. %3D

A18.3 Note that if A and B are two diagonal matrices then AB = BA. Give an example of 2 x 2 matrices A and B which are non-diagonal and not multiples of each other, such that AB = BA. Explain and prove that it works. %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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can i get proof it works

A18.3 Note that if A and B are two diagonal matrices then AB = BA. Give an example of 2 x 2 matrices A and B which are non-diagonal and not multiples of each other, such that AB = BA. Explain and prove that it works. %3D
Transcribed Image Text:A18.3 Note that if A and B are two diagonal matrices then AB = BA. Give an example of 2 x 2 matrices A and B which are non-diagonal and not multiples of each other, such that AB = BA. Explain and prove that it works. %3D
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