SOLUTION: Show that (AxB).(AxB) + (A.B)^2 =(A^2)(B^2)

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Question 1206237: Show that (AxB).(AxB) + (A.B)^2 =(A^2)(B^2)
Answer by ikleyn(53956) About Me  (Show Source):
You can put this solution on YOUR website!
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Show that (AxB).(AxB) + (A.B)^2 =(A^2)(B^2)
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I don't know what do you want and what do you mean.

But over the set of all real numbers this identity is incorrect / invalid.


For example, take A= 1, B= 1 to get contradiction..


Over the set of all square matrices, this identity is not valid, too.

To get and example, consider identity matrices.