Matrices and Determinants

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    Chapter 2 Matrices and Determinants ( 114 videos)  (Practice Test)

      2.1: Introduction (Practice Test)
      Introducing Matrix
    1. Introducing Matrix
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      2. More on Introducing Matrix
    2. More on Introducing Matrix
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      3. Problem-Introducing Matrix
    3. Problem-Introducing Matrix
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      4. Order of Matrix
    4. Order of Matrix
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      5. Problem-Order of Matrix
    5. Problem-Order of Matrix
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      6. Location of elements in Matrix
    6. Location of elements in Matrix
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      7. Problem-Location of elements in Matrix
    7. Problem-Location of elements in Matrix
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      8. Equal Matrices
    8. Equal Matrices
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      9. Problem1-Equal Matrices
    9. Problem1-Equal Matrices
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      10. Problem2-Equal Matrices
    10. Problem2-Equal Matrices
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      11. Row-Column Matrix
    11. Row-Column Matrix
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      12. Problem-Row-Column Matrix
    12. Problem-Row-Column Matrix
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      13. Square-Rectangular Matrix
    13. Square-Rectangular Matrix
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      14. Problem-Square-Rectangular Matrix
    14. Problem-Square-Rectangular Matrix
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      15. Practical Application of Matrices
    15. Practical Application of Matrices
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      16. Negative of Matrix
    16. Negative of Matrix
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      17. Problem-Negative of Matrix
    17. Problem-Negative of Matrix
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      18. Diagonal Matrix
    18. Diagonal Matrix
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      19. Problem-Diagonal Matrix
    19. Problem-Diagonal Matrix
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      20. Scalar Matrix
    20. Scalar Matrix
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      21. Problem-Scalar Matrix
    21. Problem-Scalar Matrix
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      22. Identity Matrix
    22. Identity Matrix
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      23. Problem-Identity Matrix
    23. Problem-Identity Matrix
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      24. Null Matrix or Zero Matrix
    24. Null Matrix or Zero Matrix
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      25. Problem-Null Matrix or Zero Matrix
    25. Problem-Null Matrix or Zero Matrix
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      26. Transpose of Matrix
    26. Transpose of Matrix
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      27. Problem-Transpose of Matrix
    27. Problem-Transpose of Matrix
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      28. Triangular Matrices
    28. Triangular Matrices
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      29. Problem-Triangular Matrices
    29. Problem-Triangular Matrices
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      30. Symmetric & Skew-Symmetric Matrices
    30. Symmetric & Skew-Symmetric Matrices
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      31. Problem1-Symmetric & Skew-Symmetric Matrices
    31. Problem1-Symmetric & Skew-Symmetric Matrices
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      32. Problem2-Symmetric & Skew-Symmetric Matrices
    32. Problem2-Symmetric & Skew-Symmetric Matrices
      856 views
      2.2: Algebra of Matrices (Practice Test)
      Addition of Matrices
    1. Addition of Matrices
      4594 views
      2. Problem-Addition of Matrices
    2. Problem-Addition of Matrices
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      3. Subtraction of Matrices
    3. Subtraction of Matrices
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      4. Problem-Subtraction of Matrices
    4. Problem-Subtraction of Matrices
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      5. Multiplication of Matrix by Real Number
    5. Multiplication of Matrix by Real Number
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      6. Problem-Multiplication of Matrix by Real Number
    6. Problem-Multiplication of Matrix by Real Number
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      7. Multiplication of Matrices
    7. Multiplication of Matrices
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      8. More on Multiplication of Matrices
    8. More on Multiplication of Matrices
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      9. Problem1-Multiplication of Matrices
    9. Problem1-Multiplication of Matrices
      3003 views
      10. Problem3-Multiplication of Matrices
    10. Problem3-Multiplication of Matrices
      525 views
      11. Commutative Law Under Addition for Matrices
    11. Commutative Law Under Addition for Matrices
      3496 views
      12. Problem-Commutative Law Under Addition for Matrices
    12. Problem-Commutative Law Under Addition for Matrices
      1744 views
      13. Commutative Law of Multiplication of Matrices
    13. Commutative Law of Multiplication of Matrices
      1792 views
      14. Problem-Commutative Law of Multiplication of Matrices
    14. Problem-Commutative Law of Multiplication of Matrices
      1207 views
      15. Transpose of Product of Matrices
    15. Transpose of Product of Matrices
      1789 views
      16. Problem- Matrices Law for Whole Transpose of Product
    16. Problem- Matrices Law for Whole Transpose of Product
      1406 views
      2.3: Determinants (Practice Test)
      Determinant of 2-by-2 Matrix
    1. Determinant of 2-by-2 Matrix
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      2. Problem1-Singular and Non-Singular Matrix
    2. Problem1-Singular and Non-Singular Matrix
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      3. Minor of an Element of a Matrix and Its Determinant
    3. Minor of an Element of a Matrix and Its Determinant
      1986 views
      4. Problem-Minor of an Element of a Matrix or Its Determinant
    4. Problem-Minor of an Element of a Matrix or Its Determinant
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      5. Cofactor of an Element of a Matrix
    5. Cofactor of an Element of a Matrix
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      6. Problem-Cofactor of an Element of a Matrix
    6. Problem-Cofactor of an Element of a Matrix
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      7. Determinant of a Sqaure Matrix of Order 3 or greater
    7. Determinant of a Sqaure Matrix of Order 3 or greater
      1607 views
      8. Problem-Determinant of a Sqaure Matrix of Order 3 or greater
    8. Problem-Determinant of a Sqaure Matrix of Order 3 or greater
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      9. Singular and Non-Singular Matrix
    9. Singular and Non-Singular Matrix
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      10. Problem-Singular and Non-Singular Matrix
    10. Problem-Singular and Non-Singular Matrix
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      11. Adjoint of Matrix
    11. Adjoint of Matrix
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      12. Problem-Adjoint of Matrix
    12. Problem-Adjoint of Matrix
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      13. Adjoint of a Square Matrix of Order n = 3 or n > 3
    13. Adjoint of a Square Matrix of Order n = 3 or n > 3
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      14. Problem-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
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      15. Matrix Inverse Using Adjoint
    15. Matrix Inverse Using Adjoint
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      16. More on Matrix Inverse Using Adjoint
    16. More on Matrix Inverse Using Adjoint
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      17. Problem1-Matrix Inverse Using Adjoint
    17. Problem1-Matrix Inverse Using Adjoint
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      18. Problem2-Matrix Inverse Using Adjoint
    18. Problem2-Matrix Inverse Using Adjoint
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      19. Problem3-Matrix Inverse Using Adjoint
    19. Problem3-Matrix Inverse Using Adjoint
      382 views
      20. Problem4-Matrix Inverse Using Adjoint
    20. Problem4-Matrix Inverse Using Adjoint
      399 views
      2.4: Properties of Determinants (Practice Test)
      Properties of Determinants
    1. Properties of Determinants
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      2. More on Properties of Determinants
    2. More on Properties of Determinants
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      3. Problem 1-Properties of Determinants
    3. Problem 1-Properties of Determinants
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      4. Problem 2-Properties of Determinants
    4. Problem 2-Properties of Determinants
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      5. Problem 3-Properties of Determinants
    5. Problem 3-Properties of Determinants
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      6. Problem 4-Properties of Determinants
    6. Problem 4-Properties of Determinants
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      7. Properties of Determinants of Order Three
    7. Properties of Determinants of Order Three
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      8. Problem-Properties of Determinants of Order Three
    8. Problem-Properties of Determinants of Order Three
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      9. Alternate Method For Expanding a Third Order Determinant
    9. Alternate Method For Expanding a Third Order Determinant
      885 views
      10. Problem-Alternate Method For Expanding a Third Order Determinant
    10. Problem-Alternate Method For Expanding a Third Order Determinant
      490 views
      2.5: Row and Column Operations (Practice Test)
      Deriving a Method For Determining Inverses
    1. Deriving a Method For Determining Inverses
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      2. Problem-Deriving a Method For Determining Inverses
    2. Problem-Deriving a Method For Determining Inverses
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      3. Inverse of Matrix by Row Operation
    3. Inverse of Matrix by Row Operation
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      4. Problem-Inverse of Matrix by Row Operation
    4. Problem-Inverse of Matrix by Row Operation
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      5. More on Problem- Inverse of Matrix by Row Operation
    5. More on Problem- Inverse of Matrix by Row Operation
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      6. Inverse of Matrix by Column Operation
    6. Inverse of Matrix by Column Operation
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      7. Problem-Inverse of Matrix by Column Operation
    7. Problem-Inverse of Matrix by Column Operation
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      8. More on Problem-Inverse of Matrix by Column Operation
    8. More on Problem-Inverse of Matrix by Column Operation
      331 views
      9. Echelon and Reduced Echelon Form of Matrix
    9. Echelon and Reduced Echelon Form of Matrix
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      10. Problem-Echelon and Reduced Echelon Form of Matrix
    10. Problem-Echelon and Reduced Echelon Form of Matrix
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      11. Echelon Form of Matrix
    11. Echelon Form of Matrix
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      12. Problem-Echelon Form of Matrix
    12. Problem-Echelon Form of Matrix
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      13. Reduced Echelon Form of Matrix
    13. Reduced Echelon Form of Matrix
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      14. Problem-Reduced Echelon Form of Matrix
    14. Problem-Reduced Echelon Form of Matrix
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      15. Rank of a Matrix
    15. Rank of a Matrix
      1486 views
      16. Problem-Rank of a Matrix
    16. Problem-Rank of a Matrix
      631 views
      2.6: System of Linear Equations (Practice Test)
      System of Linear Equations
    1. System of Linear Equations
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      2. More on System of Linear Equations
    2. More on System of Linear Equations
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      3. Problem-System of Linear Equations
    3. Problem-System of Linear Equations
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      4. Consistency and Inconsistency of a System
    4. Consistency and Inconsistency of a System
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      5. Problem-Consistency and Inconsistency of a System
    5. Problem-Consistency and Inconsistency of a System
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      6. Solving a System of Three Non-Homogeneous Linear Equations
    6. Solving a System of Three Non-Homogeneous Linear Equations
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      7. Problem-Solving a System of Three Non-Homogeneous Linear Equations
    7. Problem-Solving a System of Three Non-Homogeneous Linear Equations
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      2.7: Solution of System of Linear Equations (Practice Test)
      Solution of Homogeneous Linear Equations
    1. Solution of Homogeneous Linear Equations
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      2. More on Solution of Homogeneous Linear Equations
    2. More on Solution of Homogeneous Linear Equations
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      3. Problem-Solution of Homogeneous Linear Equations
    3. Problem-Solution of Homogeneous Linear Equations
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      4. More on Problem-Solution of Homogeneous Linear Equations
    4. More on Problem-Solution of Homogeneous Linear Equations
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      5. Solution of System of Linear Equations by Row Operation
    5. Solution of System of Linear Equations by Row Operation
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      6. Problem-Solution of System of Linear Equations by Row Operation
    6. Problem-Solution of System of Linear Equations by Row Operation
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      7. Problem-More on Solution of System of Linear Equations by Row Operation
    7. Problem-More on Solution of System of Linear Equations by Row Operation
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      8. Solving Simultaneous Equations-Inversion Method
    8. Solving Simultaneous Equations-Inversion Method
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      9. Problem-Solving Simultaneous Equations-Inversion Method
    9. Problem-Solving Simultaneous Equations-Inversion Method
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      10. More on Solving Simultaneous Equations-Inversion Method
    10. More on Solving Simultaneous Equations-Inversion Method
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      11. Solving Simultaneous Equations-Cramers Rule
    11. Solving Simultaneous Equations-Cramers Rule
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      12. Problem1-Solving Simultaneous Equations-Cramers Rule
    12. Problem1-Solving Simultaneous Equations-Cramers Rule
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      13. Problem2-Solving Simultaneous Equations-Cramers Rule
    13. Problem2-Solving Simultaneous Equations-Cramers Rule
      406 views