Matrices and Determinants

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    Chapter 2 Matrices and Determinants ( 93 videos)

      2.1: Matrices
      Introducing Matrix
    1. Introducing Matrix
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      2. More on Introducing Matrix
    2. More on Introducing Matrix
      3625 views
      3. Problem-Introducing Matrix
    3. Problem-Introducing Matrix
      14050 views
      4. Order of Matrix
    4. Order of Matrix
      10702 views
      5. Problem-Order of Matrix
    5. Problem-Order of Matrix
      7790 views
      6. Location of elements in Matrix
    6. Location of elements in Matrix
      1815 views
      7. Problem-Location of elements in Matrix
    7. Problem-Location of elements in Matrix
      1279 views
      8. Equal Matrices
    8. Equal Matrices
      7813 views
      9. Problem1-Equal Matrices
    9. Problem1-Equal Matrices
      5711 views
      10. Problem2-Equal Matrices
    10. Problem2-Equal Matrices
      3091 views
      11. Row-Column Matrix
    11. Row-Column Matrix
      10233 views
      12. Problem-Row-Column Matrix
    12. Problem-Row-Column Matrix
      4853 views
      13. Square-Rectangular Matrix
    13. Square-Rectangular Matrix
      6255 views
      14. Problem-Square-Rectangular Matrix
    14. Problem-Square-Rectangular Matrix
      3522 views
      15. Null Matrix or Zero Matrix
    15. Null Matrix or Zero Matrix
      5155 views
      16. Practical Application of Matrices
    16. Practical Application of Matrices
      1786 views
      17. Problem-Null Matrix or Zero Matrix
    17. Problem-Null Matrix or Zero Matrix
      2898 views
      18. Diagonal Matrix
    18. Diagonal Matrix
      4740 views
      19. Problem-Diagonal Matrix
    19. Problem-Diagonal Matrix
      2480 views
      20. Scalar Matrix
    20. Scalar Matrix
      6740 views
      21. Problem-Scalar Matrix
    21. Problem-Scalar Matrix
      2171 views
      22. Identity Matrix
    22. Identity Matrix
      3307 views
      23. Problem-Identity Matrix
    23. Problem-Identity Matrix
      2096 views
      24. Triangular Matrices
    24. Triangular Matrices
      4232 views
      25. Problem-Triangular Matrices
    25. Problem-Triangular Matrices
      921 views
      26. Transpose of Matrix
    26. Transpose of Matrix
      4496 views
      27. Problem-Transpose of Matrix
    27. Problem-Transpose of Matrix
      3502 views
      28. Symmetric & Skew-Symmetric Matrices
    28. Symmetric & Skew-Symmetric Matrices
      5957 views
      29. Problem1-Symmetric & Skew-Symmetric Matrices
    29. Problem1-Symmetric & Skew-Symmetric Matrices
      4625 views
      30. Problem2-Symmetric & Skew-Symmetric Matrices
    30. Problem2-Symmetric & Skew-Symmetric Matrices
      856 views
      2.2: Algebra of Matrices
      Multiplication of Matrix by Real Number
    1. Multiplication of Matrix by Real Number
      3354 views
      2. Problem-Multiplication of Matrix by Real Number
    2. Problem-Multiplication of Matrix by Real Number
      2039 views
      3. Addition of Matrices
    3. Addition of Matrices
      4594 views
      4. Problem-Addition of Matrices
    4. Problem-Addition of Matrices
      2751 views
      5. Subtraction of Matrices
    5. Subtraction of Matrices
      2574 views
      6. Problem-Subtraction of Matrices
    6. Problem-Subtraction of Matrices
      1949 views
      7. Multiplication of Matrices
    7. Multiplication of Matrices
      5440 views
      8. More on Multiplication of Matrices
    8. More on Multiplication of Matrices
      572 views
      9. Problem1-Multiplication of Matrices
    9. Problem1-Multiplication of Matrices
      3003 views
      10. Problem2-Multiplication of Matrices
    10. Problem2-Multiplication of Matrices
      2261 views
      11. Problem3-Multiplication of Matrices
    11. Problem3-Multiplication of Matrices
      525 views
      12. Problem4-Multiplication of Matrices
    12. Problem4-Multiplication of Matrices
      13. Commutative Law Under Addition for Matrices
    13. Commutative Law Under Addition for Matrices
      3496 views
      14. Problem-Commutative Law Under Addition for Matrices
    14. Problem-Commutative Law Under Addition for Matrices
      1744 views
      15. Commutative Law of Multiplication of Matrices
    15. Commutative Law of Multiplication of Matrices
      1792 views
      16. Problem-Commutative Law of Multiplication of Matrices
    16. Problem-Commutative Law of Multiplication of Matrices
      1207 views
      2.3: Determinants
      Determinant of 2-by-2 Matrix
    1. Determinant of 2-by-2 Matrix
      4896 views
      2. Determinant of a Sqaure Matrix of Order 3 or greater
    2. Determinant of a Sqaure Matrix of Order 3 or greater
      1607 views
      3. Problem-Determinant of a Sqaure Matrix of Order 3 or greater
    3. Problem-Determinant of a Sqaure Matrix of Order 3 or greater
      960 views
      4. Minor of an Element of a Matrix and Its Determinant
    4. Minor of an Element of a Matrix and Its Determinant
      5. Problem-Minor of an Element of a Matrix or Its Determinant
    5. Problem-Minor of an Element of a Matrix or Its Determinant
      863 views
      6. Inverse of a Matrix Using Minor and Cofactor
    6. Inverse of a Matrix Using Minor and Cofactor
      7. Cofactor of an Element of a Matrix
    7. Cofactor of an Element of a Matrix
      2135 views
      8. Problem-Cofactor of an Element of a Matrix
    8. Problem-Cofactor of an Element of a Matrix
      731 views
      9. Problem4-Matrix Inverse Using Adjoint
    9. Problem4-Matrix Inverse Using Adjoint
      399 views
      10. Adjoint of a Square Matrix of Order n = 3 or n > 3
    10. Adjoint of a Square Matrix of Order n = 3 or n > 3
      722 views
      11. Matrix Inverse Using Adjoint
    11. Matrix Inverse Using Adjoint
      4424 views
      12. More on Matrix Inverse Using Adjoint
    12. More on Matrix Inverse Using Adjoint
      874 views
      13. Problem1-Matrix Inverse Using Adjoint
    13. Problem1-Matrix Inverse Using Adjoint
      2520 views
      14. Problem2-Matrix Inverse Using Adjoint
    14. Problem2-Matrix Inverse Using Adjoint
      584 views
      15. Problem3-Matrix Inverse Using Adjoint
    15. Problem3-Matrix Inverse Using Adjoint
      382 views
      2.4: Properties of Determinants
      Properties of Determinants
    1. Properties of Determinants
      1893 views
      2. More on Properties of Determinants
    2. More on Properties of Determinants
      1045 views
      3. Problem 1-Properties of Determinants
    3. Problem 1-Properties of Determinants
      1191 views
      4. Problem 2-Properties of Determinants
    4. Problem 2-Properties of Determinants
      688 views
      5. Problem 3-Properties of Determinants
    5. Problem 3-Properties of Determinants
      582 views
      6. Problem 4-Properties of Determinants
    6. Problem 4-Properties of Determinants
      739 views
      7. Properties of Determinants of Order Three
    7. Properties of Determinants of Order Three
      986 views
      8. Problem-Properties of Determinants of Order Three
    8. Problem-Properties of Determinants of Order Three
      674 views
      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: Rows and Columns Operations
      Echelon Form of Matrix
    1. Echelon Form of Matrix
      1342 views
      2. Problem-Echelon Form of Matrix
    2. Problem-Echelon Form of Matrix
      683 views
      3. Reduced Echelon Form of Matrix
    3. Reduced Echelon Form of Matrix
      792 views
      4. Problem-Reduced Echelon Form of Matrix
    4. Problem-Reduced Echelon Form of Matrix
      514 views
      5. Rank of a Matrix
    5. Rank of a Matrix
      1486 views
      6. Problem-Rank of a Matrix
    6. Problem-Rank of a Matrix
      631 views
      7. Inverse of Matrix by Row Operation
    7. Inverse of Matrix by Row Operation
      1299 views
      8. Problem-Inverse of Matrix by Row Operation
    8. Problem-Inverse of Matrix by Row Operation
      468 views
      2.6: Solving System of Linear Equations
      System of Linear Equations
    1. System of Linear Equations
      1357 views
      2. More on System of Linear Equations
    2. More on System of Linear Equations
      591 views
      3. Problem-System of Linear Equations
    3. Problem-System of Linear Equations
      579 views
      4. Solution of Homogeneous Linear Equations
    4. Solution of Homogeneous Linear Equations
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      5. More on Solution of Homogeneous Linear Equations
    5. More on Solution of Homogeneous Linear Equations
      742 views
      6. Problem-Solution of Homogeneous Linear Equations
    6. Problem-Solution of Homogeneous Linear Equations
      602 views
      7. More on Problem-Solution of Homogeneous Linear Equations
    7. More on Problem-Solution of Homogeneous Linear Equations
      489 views
      8. Solving a System of Three Non-Homogeneous Linear Equations
    8. Solving a System of Three Non-Homogeneous Linear Equations
      723 views
      9. Problem-Solving a System of Three Non-Homogeneous Linear Equations
    9. Problem-Solving a System of Three Non-Homogeneous Linear Equations
      446 views
      10. Consistency and Inconsistency of a System
    10. Consistency and Inconsistency of a System
      865 views
      11. Problem-Consistency and Inconsistency of a System
    11. Problem-Consistency and Inconsistency of a System
      567 views
      12. Solving Simultaneous Equations-Inversion Method
    12. Solving Simultaneous Equations-Inversion Method
      10163 views
      13. Solving Simultaneous Equations-Cramers Rule
    13. Solving Simultaneous Equations-Cramers Rule
      8952 views
      14. Problem2-Solving Simultaneous Equations-Cramers Rule
    14. Problem2-Solving Simultaneous Equations-Cramers Rule
      406 views