Ex 4.3 | Q # 3 Complete | Matrices & Determinants | 11 Math | Cramer's Rule | New PTB 2025 |نئی کتاب

Описание: Welcome to Learn with Khuram!
In this video, we solve Exercise 4.3, Question #3 from the new 11th Class Mathematics Book 2025 (PTB) using Cramer’s Rule. This method helps you solve systems of linear equations using determinants.
We provide a step-by-step full solution for all three parts of Question 3.

📘 Topic: Chapter 4 – Matrices & Determinants
📘 Exercise: 4.3
📘 Method Used: Cramer’s Rule
📘 Language: Urdu + English (Bilingual)
📘 Board: Punjab Textbook Board (PTB) 2025 – New Book
📘 Class: 1st Year (11th Class)

📌 Chapters Covered:
✔️ Solving Systems of Equations
✔️ Matrix Methods
✔️ Cramer’s Rule Explanation
✔️ Determinants
✔️ Rank of a Matrix (briefly referenced)

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