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Chapter 03: Matrices and Determinants

Notes (Solutions) of Chapter 03: Matrices and Determinants, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents & summary:

    • Introduction

      • Solution of simultaneous linear equations by using matrices
    • Field
    • Properties of Matrix Addition, Scalar Multiplication and Matrix Multiplicaton.
      • Exercise 3.2
    • Determinants
      • Minor and Cofactor f an Element of a Maatrix or its Determinant
      • Determinant of a Square Matrix of Order n≥3

    • Properties of Determinants with help in their Evaluation
    • Adjoint and Inverse of a Square Matrix of order n≥3

      • Exercise 3.3
    • Elementary Row and Column Operations on a Matrix
    • Echelon and Reduce Echelon form of Martices
      • Exercise 3.4
    • System of Linear Equation
      • Homogeneous Linear Equation
      • Non-Homogeneous Linear Equations
    • Cramer`s Rule

Table of Contents

Exercise 3.1

Exercise 3.5

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