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Reported Question / Answer
Q.) Let A be the set of all non-singular matrices over real numbers and let * be the matrix multiplication operator. Then
1)
< A, * > is a semi group but not a monoid
2)
A is closed under * but < A, * > is not a semi group
3)
< A, * > is a group but not an abelian group
4)
< A, * > is a monoid but not a group
5)
NULL
Answer :
3
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