(G, ★) with A★B = AB/2 is an Abelian Group | VTU BCS405A Module 5 Q9A/9B Solved

📘 Discrete Mathematics | BCS405A | Group Theory – Abelian Group Proof

In this video, we solve an important VTU exam question from Module 5 of Discrete Mathematical Structure (BCS405A).

📝 Problem Statement:
Let G be the set of all non-zero real numbers. Define the binary operation ★ on G as:A★B= AB/2


Prove that the algebraic structure
(G,★) is an abelian group.

📌 This question was asked in:

✅ Model Question Paper 2 – 4th Semester BE Degree Examination,
Discrete Mathematical Structure, BCS405A, Module 5, Q.No. 9(b)

✅ 4th Semester BE/BTech – Dec 2024 / Jan 2025 VTU Examination,
Discrete Mathematical Structure, BCS405A, Module 5, Q.No. 9(a)

🎯 In this video, we prove:
✔️ Closure under the operation
✔️ Associativity
✔️ Identity element exists
✔️ Inverse exists for all elements
✔️ Commutativity (Abelian property)

📚 Perfect for students preparing for:
🔹 VTU 4th Semester – BE / BTech
🔹 Discrete Mathematics – BCS405A
🔹 Group Theory – Module 5

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📤 Share it with classmates preparing for VTU exams

🔗 Watch the full VTU Module 5 Playlist here:
👉 [BCS405A Module 5 – Group Theory (Coming Soon or Add Link)]

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