Set Theory and Algebra MCQ

1:

Let A be the set of all non-singular matrices over real numbers and let * be the matrix multiplication operator. Then

A.

A is closed under * but < A, * > is not a semi group

B.

< A, * > is a semi group but not a monoid

C.

< A, * > is a monoid but not a group

D.

< A, * > is a group but not an abelian group

 

Answer : D

Explanation :

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Option: A

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