Matrices and Determinants

Khyber Pakhtunkhwa Board > Class 11 > Math (Total Videos: 779)

Show Content

Select a chapter above and press 'Show Content'. Click a video topic below to view.

Chapter 2: Matrices and Determinants (114 videos)   (Practice Test)
2.1: Introduction  (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
  11. Row Matrix and Column Matrix
  12. Problem 1: Row Matrix and Column Matrix
  13. Square Matrix and Rectangular Matrix
  14. Problem 1: Square Matrix and Rectangular Matrix
  15. Practical Application of Matrices
  16. Negative of Matrix
  17. Problem 1: Negative of Matrix
  18. Diagonal Matrix
  19. Problem 1: Diagonal Matrix
  20. Scalar Matrix
  21. Problem 1: Scalar Matrix
  22. Identity Matrix
  23. Problem 1: Identity Matrix
  24. Null Matrix or Zero Matrix
  25. Problem 1: Null Matrix or Zero Matrix
  26. Transpose of a Matrix
  27. Problem 1: Transpose of a Matrix
  28. Triangular Matrices
  29. Problem-Triangular Matrices
  30. Symmetric and Skew-Symmetric Matrices
  31. Problem 1: Symmetric and Skew-Symmetric Matrices
  32. Problem 2: Symmetric & Skew-Symmetric Matrices
2.2: Algebra 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. Multiplication of Matrices
  8. More on Multiplication of Matrices
  9. Problem 1: Multiplication of Matrices
  10. Problem3-Multiplication of Matrices
  11. Commutative Law under Addition for Matrices
  12. Problem 1: Commutative Law under Addition for Matrices
  13. Commutative Law of Multiplication of Matrices
  14. Problem 1: Commutative Law of Multiplication of Matrices
  15. Property for whole transpose of product of Matrices
  16. Problem 1: Property for whole transpose of product of Matrices
2.3: Determinants  (Practice Test)
  1. Determinant of 2-by-2 Matrix
  2. Problem1-Singular and Non-Singular Matrix
  3. Minor of an Element of a Matrix or Its Determinant
  4. Problem-Minor of an Element of a Matrix or Its Determinant
  5. Cofactor of an Element of a Matrix
  6. Problem-Cofactor of an Element of a Matrix
  7. Determinant of a Sqaure Matrix of Order 3 or greater
  8. Problem-Determinant of a Sqaure Matrix of Order 3 or greater
  9. Singular and Non-singular Matrix
  10. Problem 1: Singular and Non-singular Matrix
  11. Adjoint of a Matrix
  12. Problem 1: Adjoint of a Matrix
  13. Adjoint of a Square Matrix of Order n = 3 or n > 3
  14. Problem-Adjoint of a Square Matrix of Order n = 3 or n > 3
  15. Inverse of Matrix using Adjoint
  16. More on Matrix Inverse Using Adjoint
  17. Problem 1: Inverse of Matrix using Adjoint
  18. Problem2-Matrix Inverse Using Adjoint
  19. Problem3-Matrix Inverse Using Adjoint
  20. Problem4-Matrix Inverse Using Adjoint
2.4: Properties of Determinants  (Practice Test)
  1. Properties of Determinants
  2. More on Properties of Determinants
  3. Problem 1-Properties of Determinants
  4. Problem 2-Properties of Determinants
  5. Problem 3-Properties of Determinants
  6. Problem 4-Properties of Determinants
  7. Properties of Determinants of Order Three
  8. Problem-Properties of Determinants of Order Three
  9. Alternate Method For Expanding a Third Order Determinant
  10. Problem-Alternate Method For Expanding a Third Order Determinant
2.5: Row and Column Operations  (Practice Test)
  1. Deriving a Method For Determining Inverses
  2. Problem-Deriving a Method For Determining Inverses
  3. Inverse of Matrix by Row Operation
  4. Problem-Inverse of Matrix by Row Operation
  5. Problem-More on Inverse of Matrix by Row Operation
  6. Inverse of Matrix by Column Operation
  7. Problem-Inverse of Matrix by Column Operation
  8. Problem-More on Inverse of Matrix by Column Operation
  9. Echelon and Reduced Echelon Form of Matrix
  10. Problem-Echelon and Reduced Echelon Form of Matrix
  11. Echelon Form of Matrix
  12. Problem-Echelon Form of Matrix
  13. Reduced Echelon Form of Matrix
  14. Problem-Reduced Echelon Form of Matrix
  15. Rank of a Matrix
  16. Problem-Rank of a Matrix
2.6: System of Linear Equations  (Practice Test)
  1. System of Linear Equations
  2. More on System of Linear Equations
  3. Problem-System of Linear Equations
  4. Consistency and Inconsistency of a System
  5. Problem-Consistency and Inconsistency of a System
  6. Solving a System of Three Non-Homogeneous Linear Equations
  7. Problem-Solving a System of Three Non-Homogeneous Linear Equations
2.7: Solution of System of Linear Equations  (Practice Test)
  1. Solution of Homogeneous Linear Equations
  2. More on Solution of Homogeneous Linear Equations
  3. Problem-Solution of Homogeneous Linear Equations
  4. More on Problem-Solution of Homogeneous Linear Equations
  5. Solution of System of Linear Equations by Row Operation
  6. Problem-Solution of System of Linear Equations by Row Operation
  7. Problem-More on Solution of System of Linear Equations by Row Operati
  8. Solving Simultaneous Equations-Inversion Method
  9. Use of Matrices in Solving Everyday Life Problems
  10. More on Solving Simultaneous Equations-Inversion Method
  11. Solving Simultaneous Equations-Cramers Rule
  12. More on Use of Matrices Solving Everyday Life Problems
  13. Problem-Solving Simultaneous Equations-Cramers Rule