Prove that the set of matrices in the form of
[
cosα
sinα
−sinα
cosα
]
[cosα−sinαsinαcosα]
(while
α∈r
α∈r
) with the operation of matrix multiplication is an abelian group.
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Step-by-step explanation:
Prove that the set of matrices in the form of [cosαsinα−sinαcosα] (while α∈R) with the operation of matrix multiplication is an abelian group.
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