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Ch#1-Download Free Class 9th/Matric/SSC-I Mathematics Notes (FBISE Islamabad) and Other Boards in shape of Video Lectures in Urdu Language

Chapter 1: Matrices and Determinants (64 videos)

1.1: Matrix

  1. Introduction to Matrix
  2. Problem 1: Introduction to Matrix
  3. Order of Matrix
  4. Problem 1: Order of Matrix
  5. Equal Matrices
  6. Problem 1: Equal Matrices

1.2: Types of Matrices

  1. Row Matrix and Column Matrix
  2. Problem 1: Row Matrix and Column Matrix
  3. Square Matrix and Rectangular Matrix
  4. Problem 1: Square Matrix and Rectangular Matrix
  5. Null Matrix or Zero Matrix
  6. Problem 1: Null Matrix or Zero Matrix
  7. Transpose of a Matrix
  8. Problem 1: Transpose of a Matrix
  9. Negative of Matrix
  10. Problem 1: Negative of Matrix
  11. Symmetric and Skew-Symmetric Matrices
  12. Problem 1: Symmetric and Skew-Symmetric Matrices
  13. Diagonal Matrix
  14. Problem 1: Diagonal Matrix
  15. Scalar Matrix
  16. Problem 1: Scalar Matrix
  17. Identity Matrix
  18. Problem 1: Identity Matrix

1.3: Addition and Subtraction of Matrices

  1. Addition of Matrices
  2. Problem 1: Addition of Matrices
  3. Subtraction of Matrices
  4. Problem 1: Subtraction of Matrices
  5. Multiplication of Matrix by a Real Number
  6. Problem 1: Multiplication of Matrix by a Real Number
  7. Commutative Law under Addition for Matrices
  8. Problem 1: Commutative Law under Addition for Matrices
  9. Associaitve Law under Addition for Matrices
  10. Problem 1: Associaitve Law under Addition for Matrices
  11. Additive Identity of a Matrix
  12. Problem 1: Additive Identity of a Matrix
  13. Additive Inverse of a Matrix
  14. Problem 1: Additive Inverse of a Matrix

1.4: Multiplication of Matrices

  1. Multiplication of Matrices
  2. Problem 1: Multiplication of Matrices
  3. Problem 2: Multiplication of Matrices
  4. Associative law under Multiplication of matrices
  5. Problem 1: Associative law under Multiplication of matrices
  6. Distributive Law of Multiplication over Addition for Matrices
  7. Problem 1: Distributive Law of Multiplication over Addition for Matrices
  8. Commutative Law of Multiplication of Matrices
  9. Problem 1: Commutative Law of Multiplication of Matrices
  10. Multiplicative Identity of a Matrix
  11. Problem 1: Multiplicative Identity of a Matrix

1.5: Multiplicative Inverse of a Matrix

  1. Determinant of 2-by-2 Matrix
  2. Problem 1-Singular and Non-Singular Matrix
  3. Problem 2-Singular and Non-Singular Matrix
  4. Singular and Non-singular Matrix
  5. Problem 1: Singular and Non-singular Matrix
  6. Adjoint of a Matrix
  7. Problem 1: Adjoint of a Matrix
  8. Multiplicative Inverse of a Non-Singular Matrix
  9. Problem 1: Multiplicative Inverse of a Non-Singular Matrix
  10. Inverse of Matrix using Adjoint
  11. Problem 1: Inverse of Matrix using Adjoint
  12. Property for whole transpose of product of Matrices
  13. Problem 1: Property for whole transpose of product of Matrices

1.6: Solution of Simultaneous Linear Equations

  1. Solving Simultaneous Equations-Inversion Method
  2. Solving Simultaneous Equations-Cramers Rule

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