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GATE | GATE-CS-2005 | Question 46

Consider the set H of all 3 × 3 matrices of the type 
 

GATECS2005Q46


where a, b, c, d, e and f are real numbers and abc ≠ 0. Under the matrix multiplication operation, the set H is 
 

(A)

a group
 

(B)

a monoid but not a group
 

(C)

a semigroup but not a monoid
 

(D)

neither a group nor a semigroup
 

Answer

Please comment below if you find anything wrong in the above post
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