CCSU NEP-2020 DEC-2022 B.Sc. 3rd sem. Mathematics solution series Part 12

CCSU NEP-2020 DEC-2022 B.Sc. 3rd sem. Mathematics Algebra & Mathematical Methods question paper solution series Part 12 Long answer type ‪@StudyandNewsHub‬
9) (a) Show that the set of matrices Aα=
[cos α -sinα]
[sin α cosα],
where α is a real number, forms a group under matrix multiplication.
(b) Prove that in a group G, o(a) = o(a^-1), ∀a∈G.
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