Show that G is an abelian under multiplication of matrices ?

CoormaBak9 2021-01-10 Answered
Show that G is an abelian under multiplication of matrices ?
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Expert Answer

Neelam Wainwright
Answered 2021-01-11 Author has 102 answers
Step 1
Let A=[a1a2a3a4] and B=[b1b2b3b4] be two matrices. Now,
AB=[a1a2a3a4]×[b1b2b3b4]
=[a1b1+a2b3a1b2+a2b4a3b1+a4b3a3b2+a4b4]
and
BA=[b1b2b3b4]×[a1a2a3a4]
=[a1b1+a3b2a2b1+a4b2a1b3+a3b4a2b3+a4b4]
So, matrix multiplication does not follow commutative law.
Step 2
Hence, G is not an abelian under multiplication of matrices.
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Jeffrey Jordon
Answered 2022-01-24 Author has 2070 answers

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