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Show by direct calculation that AB and BA have the same trace when A = " a b c d# and B

Chapter 5, Problem 5.2.9

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QUESTION:

Show by direct calculation that AB and BA have the same trace when A = " a b c d# and B = " q r s t# . Deduce that ABBA = I is impossible (except in infinite dimensions).

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QUESTION:

Show by direct calculation that AB and BA have the same trace when A = " a b c d# and B = " q r s t# . Deduce that ABBA = I is impossible (except in infinite dimensions).

ANSWER:

Step 1 of 2

Let’s show that  and  have the same trace.

Find the trace .

                                             

 

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