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.

• 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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• Exercise 3.1 | View Online | Download PDF (322KB)

• Exercise 3.2 | View Online | Download PDF (507KB)

• Exercise 3.3 (Handwritten) | View Online | Download PDF (493KB)

• Exercise 3.4 (Handwritten) | View Online | Download PDF (560KB)

• Exercise 3.5 | View Online | Download PDF (359KB)

• Exercise 3.5 by Prof. Tahir Nazir | View Online | Download PDF (208KB)

• Exercise 3.5 by Prof. Shariq Mahataab | View Online | Download PDF (262KB)

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The following notes are send by Muhammad Fiaz Hussain. We are very thankful to him for sending these notes. <callout type=“success” icon=“fa fa-download”>

• Important Questions | Download PDF NEW

• Exercise 3.3 by Fiaz Hussain | View Online | Download PDF

• Exercise 3.4 by Fiaz Hussain | View Online | Download PDF

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The following short questions was send by Mr. Akhtar Abbas. <callout type=“success” icon=“fa fa-download”>

• Chapter 03 | View Online | Download PDF NEW

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