Matrices and Determinats

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Chapter 6: Matrices and Determinats (82 videos)   (Practice Test)
6.1: Introduction to Matrices  (Practice Test)
  1. Introduction to Matrix
  2. More on Introducing Matrix
  3. Problem 1: Introduction to Matrix
  4. Order of Matrix
  5. Problem 1: Order of Matrix
  6. Location of elements in Matrix
  7. Problem 1: Location of elements in Matrix
  8. Equal Matrices
  9. Problem 1: Equal Matrices
  10. Problem 2: Equal Matrices
6.2: Types of Matrices  (Practice Test)
  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. Practical Application of Matrices
  7. Problem 1: Null Matrix or Zero Matrix
  8. Transpose of a Matrix
  9. Problem 1: Transpose of a Matrix
  10. Negative of Matrix
  11. Problem 1: Negative of Matrix
  12. Symmetric and Skew-Symmetric Matrices
  13. Problem 1: Symmetric and Skew-Symmetric Matrices
  14. Problem2-Symmetric & Skew-Symmetric Matrices
  15. Diagonal Matrix
  16. Problem 1: Diagonal Matrix
  17. Scalar Matrix
  18. Problem 1: Scalar Matrix
  19. Identity Matrix
  20. Problem 1: Identity Matrix
6.3: Addition and Subtraction of Matrices  (Practice Test)
  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
6.4: Multiplication of Matrices  (Practice Test)
  1. Multiplication of Matrices
  2. More on Multiplication of Matrices
  3. Problem 1: Multiplication of Matrices
  4. Problem 2: Multiplication of Matrices
  5. Problem3-Multiplication of Matrices
  6. Problem4-Multiplication of Matrices
  7. Commutative Law of Multiplication of Matrices
  8. Problem 1: Commutative Law of Multiplication of Matrices
  9. Properties of Scalar Multiplication
  10. Prove That c(AB) = (cA)B = A(cB)
  11. Problem-Prove That c(AB) = (cA)B = A(cB)
  12. Associative law under Multiplication of matrices
  13. Problem 1: Associative law under Multiplication of matrices
  14. Distributive Law of Multiplication over Addition for Matrices
  15. Problem 1: Distributive Law of Multiplication over Addition for Matri
  16. Multiplicative Identity of a Matrix
  17. Problem 1: Multiplicative Identity of a Matrix
  18. Properties of Transposed Matrices
  19. Problem-Properties of Transposed Matrices
  20. Property for whole transpose of product of Matrices
6.5: Multiplicative Inverse of a Matrix  (Practice Test)
  1. Determinant of 2-by-2 Matrix
  2. Singular and Non-singular Matrix
  3. Problem 1: Singular and Non-singular Matrix
  4. Multiplicative Inverse of a Non-Singular Matrix
  5. Problem 1: Multiplicative Inverse of a Non-Singular Matrix
  6. Inverse of Matrix using Adjoint
  7. More on Matrix Inverse Using Adjoint
  8. Problem 1: Inverse of Matrix using Adjoint
  9. Problem2-Matrix Inverse Using Adjoint
  10. Problem3-Matrix Inverse Using Adjoint
  11. Problem4-Matrix Inverse Using Adjoint
  12. Property for Whole Inverse of Product of Matrices
  13. More on Property for Whole Inverse of Product of Matrices
6.6: Solution of Simultaneous Linear Equations  (Practice Test)
  1. Solving Simultaneous Equations-Inversion Method
  2. More on Solving Simultaneous Equations-Inversion Method
  3. Solving Simultaneous Equations-Cramers Rule
  4. More on Solving Simultaneous Equations-Cramers Rule
  5. Problem-Solving Simultaneous Equations-Cramers Rule