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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
The set of all real matrices of 1 point order 2 under multiplication o forms a group o does not form a semigroup o does not form a groupoid o forms a monoid the
The set of all real matrices of 1 point order 2 under multiplication O forms a group O does not form a semigroup O does not form a groupoid O forms a monoid The set (1, 2, 3,.., n-1} is a group 1 point under multiplication modulonif n is O composite O prime odd O even
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Deepak singh 1
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In question 1 - it is groupoid , semi group and monoid also but not forms group because inverse of singular matrix not exist . So option d is correct and in question 2 , (Z*n,×) forms group only when n is prime.. so option b is correct if any doubt then ask
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Piyush pachauri
For second n is prime. For first It's monoid
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Piyush pachauri
Any doubt then you can ask.