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Chapter 6: Matrices and Determinants (61 videos)
6.1: Introduction to Matrices
  1. Introduction to Matrix
  2. Order of Matrix
  3. Problem 1: Introduction to Matrix
  4. Location of elements in Matrix
  5. Equal Matrices
  6. Problem 1: Order of Matrix
  7. Problem 1: Equal Matrices
  8. Problem 2: Equal Matrices
6.2: Types of Matrices
  1. Row Matrix and Column Matrix
  2. Square Matrix and Rectangular Matrix
  3. Problem 1: Row Matrix and Column Matrix
  4. Null Matrix or Zero Matrix
  5. Transpose of a Matrix
  6. Problem 1: Square Matrix and Rectangular Matrix
  7. Negative of Matrix
  8. Symmetric and Skew-Symmetric Matrices
  9. Problem 1: Null Matrix or Zero Matrix
  10. Diagonal Matrix
  11. Scalar Matrix
  12. Problem 1: Transpose of a Matrix
  13. Identity Matrix
  14. Problem 1: Negative of Matrix
  15. Problem 1: Symmetric and Skew-Symmetric Matrices
  16. Problem 1: Diagonal Matrix
  17. Problem 1: Scalar Matrix
6.3: Addition and Subtraction of Matrices
  1. Addition of Matrices
  2. Subtraction of Matrices
  3. Problem 1: Addition of Matrices
  4. Commutative Law under Addition for Matrices
  5. Associaitve Law under Addition for Matrices
  6. Problem 1: Subtraction of Matrices
  7. Additive Identity of a Matrix
  8. Additive Inverse of a Matrix
  9. Problem 1: Commutative Law under Addition for Matrices
  10. Problem 1: Associaitve Law under Addition for Matrices
  11. Problem 1: Additive Identity of a Matrix
  12. Problem 1: Additive Inverse of a Matrix
6.4: Multiplication of Matrices
  1. Multiplication of Matrix by a Real Number
  2. Multiplication of Matrices
  3. Problem 1: Multiplication of Matrix by a Real Number
  4. Commutative Law of Multiplication of Matrices
  5. Associative law under Multiplication of matrices
  6. Problem 1: Multiplication of Matrices
  7. Distributive Law of Multiplication over Addition for Matrices
  8. Problem 2: Multiplication of Matrices
  9. Problem 1: Commutative Law of Multiplication of Matrices
  10. Problem 1: Associative law under Multiplication of matrices
  11. Problem 1: Distributive Law of Multiplication over Addition for Matri
6.5: Multiplicatve Inverse of Matrix
  1. Multiplicative Identity of a Matrix
  2. Determinant of 2-by-2 Matrix
  3. Problem 1: Multiplicative Identity of a Matrix
  4. Singular and Non-singular Matrix
  5. Multiplicative Inverse of a Non-Singular Matrix
  6. Problem1-Singular and Non-Singular Matrix
  7. Inverse of Matrix using Adjoint
  8. Problem2-Singular and Non-Singular Matrix
  9. Problem 1: Singular and Non-singular Matrix
6.6: Solution of Simulataneous Linear Equations
  1. Solving Simultaneous Equations-Inversion Method
  2. Solving Simultaneous Equations-Cramers Rule
  3. Use of Matrices in Solving Everyday Life Problems
  4. More on Use of Matrices Solving Everyday Life Problems
 

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