let a be the set of all non-singular matrices over real numbers and let * be the matrix multiplication operator. then Options: A . &nbsp is a monoid but not a group B . &nbsp is a group but not an abelian group C . &nbsp is a semi group but not a monoid D . &nbspA is closed under * but is not a semi group

let a be the set of all non-singular matrices over real numbers and let * be t

Question

let a be the set of all non-singular matrices over real numbers and let * be the matrix multiplication operator. then

Options:

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: Option B
Explanation :

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Question 1. let (z, *) be an algebraic structure, where z is the set of integers and the operation * is defined by n * m = maximum....of the following statements is true for (z, *) ?

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Question 5. let (z, *) be an algebraic structure, where z is the set of integers and the operation * is defined by n * m = maximum....of the following statements is true for (z, *) ?

Question 6. let a be the set of all non-singular matrices over real numbers and let * be the matrix multiplication operator. then....numbers and let * be the matrix multiplication operator. then

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Question 9. which of the following statements is false ?....

Question 10. in the group g = {2, 4, 6, 8) under multiplication modulo 10, the identity element is....

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