Consider the set H of all 3 × 3 matrices of the type where a, b, c, d, e and f…
GATE · 2005 · CS
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
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