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Chapter 7: Matrices (63 videos)
7.1: Introduction
  1. Introduction to Matrix
  2. Problem 1: Introduction to Matrix
7.2: Notation
  1. Location of elements in Matrix
  2. Problem 1: Location of elements in Matrix
7.3: Order of Matrix
  1. Order of Matrix
  2. Problem 1: Order of Matrix
7.4: Location of Elements or Entries
  1. Location of elements in Matrix
  2. Problem 1: Location of elements in Matrix
7.5: Types of Matrices
  1. Row Matrix and Column Matrix
  2. Problem1-Singular and Non-Singular Matrix
  3. Problem 1: Row Matrix and Column Matrix
  4. Problem2-Singular and Non-Singular Matrix
  5. Square Matrix and Rectangular Matrix
  6. Problem 1: Square Matrix and Rectangular Matrix
  7. Null Matrix or Zero Matrix
  8. Problem 1: Null Matrix or Zero Matrix
  9. Negative of Matrix
  10. Problem 1: Negative of Matrix
  11. Diagonal Matrix
  12. Problem 1: Diagonal Matrix
  13. Scalar Matrix
  14. Problem 1: Scalar Matrix
  15. Identity Matrix
  16. Problem 1: Identity Matrix
7.6: Transpose of Matrix
  1. Transpose of a Matrix
  2. Problem 1: Transpose of a Matrix
7.7: Equality of Matrices
  1. Equal Matrices
  2. Problem 1: Equal Matrices
  3. Problem 2: Equal Matrices
7.8: Addition of Matrices
  1. Addition of Matrices
  2. Problem 1: Addition of Matrices
7.9: Additive Identity
  1. Additive Identity of a Matrix
  2. Problem 1: Additive Identity of a Matrix
7.10: Additive Inverse of A Matrix
  1. Additive Inverse of a Matrix
  2. Problem 1: Additive Inverse of a Matrix
7.11: Commutative Property w.r.t Addition
  1. Commutative Law under Addition for Matrices
  2. Problem 1: Commutative Law under Addition for Matrices
7.12: Associative Property w.r.t Addition
  1. Associaitve Law under Addition for Matrices
  2. Problem 1: Multiplication of Matrices
  3. Problem 1: Associaitve Law under Addition for Matrices
  4. Problem 2: Multiplication of Matrices
7.13: Subtraction of Matrices
  1. Subtraction of Matrices
  2. Problem 1: Subtraction of Matrices
7.14: Multiplication of Matrix by Real Number
  1. Multiplication of Matrix by a Real Number
  2. Problem 1: Multiplication of Matrix by a Real Number
7.15: Matrix Multiplication
  1. Multiplication of Matrices
  2. Problem 1: Multiplication of Matrices
  3. Problem 2: Multiplication of Matrices
7.16: Properties of Multiplication of Matrices
  1. Associative law under Multiplication of matrices
  2. Problem 1: Associative law under Multiplication of matrices
  3. Distributive Law of Multiplication over Addition for Matrices
  4. Problem 1: Distributive Law of Multiplication over Addition for Matri
7.17: Identity Matrix w.r.t Multiplication
  1. Multiplicative Identity of a Matrix
  2. Problem 1: Multiplicative Identity of a Matrix
7.18: Determinant of Matrix
  1. Determinant of 2-by-2 Matrix
7.19: Singular & Non-Singular Matrices
  1. Singular and Non-singular Matrix
  2. Problem 1: Singular and Non-singular Matrix
7.20: Adjoint of Matrix
  1. Adjoint of a Matrix
  2. Problem 1: Adjoint of a Matrix
7.21: Multiplicative Inverse of Matrix
  1. Inverse of Matrix using Adjoint
  2. Problem 1: Inverse of Matrix using Adjoint
7.22: Solution of Two Simultaneous Linear Equations Using Matrices
  1. Solving Simultaneous Equations-Inversion Method
7.23: Cramers Rule
  1. Solving Simultaneous Equations-Cramers Rule
 

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