Best unit 4 matrices determinants solved notes class 11 punjab boards – 100% solved exercises with easy step-by-step solutions, graphs, diagrams & marking scheme from new book (PECTAA, Punjab Curriculum and Textbook Board, Ali Brothers, Ilmi Kitab Khana, Scholar Publications, Caravan Book House, Farhan Publishers).
Perfect for Punjab boards exams 2026 – score 90+ marks!
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Exercise 4.1 – Identity Matrix & Subtraction (All Questions Solved) Exercise 4.1 Page 86 Full Solutions with Matrices ↳ Exercise 4.1 Complete Solved PDF ↳ Q1(i) I3A = A Proved (3×3 Identity) ↳ Q1(ii) AI4 = A Proved (4×4 Identity) ↳ Q2(i) A – B = [[-2, -2, 3], [2, 0, -3], [0, -2, 3]] ↳ Q2(ii) B – C = [[1, 1, 1], [2, -3, 4], [-4, -2, 2]]
All Remaining Exercises + Review Exercise (100% Solved) ↳ Exercise 4.2 Addition & Multiplication ↳ Exercise 4.3 Determinants & Minors ↳ Exercise 4.4 Inverse Matrices ↳ Exercise 4.5 Cramer’s Rule ↳ Exercise 4.6 Applications ↳ Review Exercise Unit 4 Full Solved
Bonus Resources ↳ Matrices Determinants Formulas Cheat Sheet PDF ↳ Top 30 Operations & Inverse Shortcuts ↳ Matrices Video Series ↳ Unit 4 Past Papers Solved (2018-2025) ↳ Unit 3 Quadratic Functions Notes ↳ Unit 5 Partial Fractions Coming Soon
View Full 35-Page Original Solved PDF (No Download Needed)
External Links
- PCTB Official → pctb.punjab.gov.pk
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