Discussion :: Algebra Problems
- Let A be the set of all non-singular matrices over real numbers and let * be the matrix multiplication operator. Then
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A.
< A, * > is a monoid but not a group |
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B.
< A, * > is a group but not an abelian group |
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C.
< A, * > is a semi group but not a monoid |
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D.
A is closed under * but < A, * > is not a semi group |
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Answer : Option B
Explanation :
< A, * > is a group but not an abelian group
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