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Identify a subgroup of g above and show that it is indeed a

1. (a) Let G be the set of all invertable matrices. Show that G is a group, under matrix multiplication.

(b) Identify a subgroup of G above and show that it is indeed a group.

(c) A matrix is said to be orthogonal if A^tA =1. Show that the set of orthogonal matrices forms a group under multiplication.

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Mathematics: Identify a subgroup of g above and show that it is indeed a

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