Q. 46 Consider the set H of all 3 × 3 matrices of the type
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: (A)
Explanation:
