Mathematics · Group Theory
Consider the following sets with their respective binary operations: G1 = set of all 3 × 3 real matrices with A * B = AB (matrix multiplication). G2 = [0, ∞) with a * b = max{a, b} for all a, b ∈ G2. Which of these algebraic structures forms a monoid?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Neither G1 nor G2
- 2Both G1 and G2
- 3Only G2
- 4Only G1✓
Correct answer
Only G1
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