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

A is closed under * but is not a semi group

is a semi group but not a monoid

is a group but not an abelian group

Let A be the set of all non-singular matrices over real num

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» E.

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

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