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Chapter 03: Matrices and Determinants

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
    • Addition of Matrices
    • Scalar Multiplication
    • Subtraction of Matrices
    • Multiplication of two Matrices
  • Determinant of a $2\times2$ matrix
    • Singular and nonsingular Matrices
    • Adjjoint of a $2\times2$ matrix
    • Inverse of $2\times2$ matrix
  • Solution of simultaneous linear equations by using matrices
    • Exercise 3.1
  • 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 $n\geq 3$
  • Properties of Determinants with help in their Evaluation
  • Adjoint and Inverse of a Square Matrix of order $n\geq 3$
    • 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
    • Exercise 3.5

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