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

Question

TuteeHUB · Accepted Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

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 a monoid but not a group
B.	< A, * > is a group but not an abelian group
C.	< A, * > is a semi group but not a monoid
D.	A is closed under * but < A, * > is not a semi group
Answer» C. < A, * > is a semi group but not a monoid

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