Matrices

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    Chapter 4 Matrices ( 89 videos)

      4.1: Matrix
      Introducing Matrix
    1. Introducing Matrix
      36598 views
      2. More on Introducing Matrix
    2. More on Introducing Matrix
      3625 views
      3. Problem-Introducing Matrix
    3. Problem-Introducing Matrix
      14050 views
      4. Row-Column Matrix
    4. Row-Column Matrix
      10233 views
      5. Problem-Row-Column Matrix
    5. Problem-Row-Column Matrix
      4853 views
      6. Square-Rectangular Matrix
    6. Square-Rectangular Matrix
      6255 views
      7. Problem-Square-Rectangular Matrix
    7. Problem-Square-Rectangular Matrix
      3522 views
      8. Diagonal Matrix
    8. Diagonal Matrix
      4740 views
      9. Problem-Diagonal Matrix
    9. Problem-Diagonal Matrix
      2480 views
      10. Scalar Matrix
    10. Scalar Matrix
      6740 views
      11. Problem-Scalar Matrix
    11. Problem-Scalar Matrix
      2171 views
      12. Identity Matrix
    12. Identity Matrix
      3307 views
      13. Problem-Identity Matrix
    13. Problem-Identity Matrix
      2096 views
      14. Null Matrix or Zero Matrix
    14. Null Matrix or Zero Matrix
      5155 views
      15. Problem-Null Matrix or Zero Matrix
    15. Problem-Null Matrix or Zero Matrix
      2898 views
      16. Equal Matrices
    16. Equal Matrices
      7813 views
      17. Problem1-Equal Matrices
    17. Problem1-Equal Matrices
      5711 views
      18. Problem2-Equal Matrices
    18. Problem2-Equal Matrices
      3091 views
      19. Transpose of Matrix
    19. Transpose of Matrix
      4496 views
      20. Problem-Transpose of Matrix
    20. Problem-Transpose of Matrix
      3502 views
      4.2: Matrix Operations
      Addition of Matrices
    1. Addition of Matrices
      4594 views
      2. Problem-Addition of Matrices
    2. Problem-Addition of Matrices
      2751 views
      3. Subtraction of Matrices
    3. Subtraction of Matrices
      2574 views
      4. Problem-Subtraction of Matrices
    4. Problem-Subtraction of Matrices
      1949 views
      5. Multiplication of Matrix by Real Number
    5. Multiplication of Matrix by Real Number
      3354 views
      6. Problem-Multiplication of Matrix by Real Number
    6. Problem-Multiplication of Matrix by Real Number
      2039 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
      4.3: Properties of Matrix Addition, Scalar Multiplication and Matrix Multiplication
      Commutative Law Under Addition for Matrices
    1. Commutative Law Under Addition for Matrices
      3496 views
      2. Problem-Commutative Law Under Addition for Matrices
    2. Problem-Commutative Law Under Addition for Matrices
      1744 views
      3. Associative Law under Addition and Multiplication of Matrices
    3. Associative Law under Addition and Multiplication of Matrices
      1849 views
      4. Problem-Associative Law Under Addition for Matrices
    4. Problem-Associative Law Under Addition for Matrices
      1426 views
      5. Problem-Associative Law under Multiplication of Matrices
    5. Problem-Associative Law under Multiplication of Matrices
      1517 views
      6. Additive Identity of a Matrix
    6. Additive Identity of a Matrix
      2748 views
      7. Problem-Additive Identity of a Matrix
    7. Problem-Additive Identity of a Matrix
      1687 views
      8. Multiplicative Identity of a Matrix
    8. Multiplicative Identity of a Matrix
      2407 views
      9. Problem-Multiplicative Identity of a Matrix
    9. Problem-Multiplicative Identity of a Matrix
      1725 views
      10. Distributive Law of Matrices
    10. Distributive Law of Matrices
      2198 views
      11. Problem-Distributivity of Matrices
    11. Problem-Distributivity of Matrices
      1351 views
      12. Prove That c(AB) = (cA)B = A(cB)
    12. Prove That c(AB) = (cA)B = A(cB)
      503 views
      13. Problem-Prove That c(AB) = (cA)B = A(cB)
    13. Problem-Prove That c(AB) = (cA)B = A(cB)
      395 views
      4.4: Determinants
      Determinant of a Sqaure Matrix of Order 3 or greater
    1. Determinant of a Sqaure Matrix of Order 3 or greater
      1607 views
      2. Problem-Determinant of a Sqaure Matrix of Order 3 or greater
    2. Problem-Determinant of a Sqaure Matrix of Order 3 or greater
      960 views
      3. Minor of an Element of a Matrix and Its Determinant
    3. Minor of an Element of a Matrix and Its Determinant
      4. Problem-Minor of an Element of a Matrix or Its Determinant
    4. Problem-Minor of an Element of a Matrix or Its Determinant
      863 views
      5. Cofactor of an Element of a Matrix
    5. Cofactor of an Element of a Matrix
      2135 views
      6. Problem-Cofactor of an Element of a Matrix
    6. Problem-Cofactor of an Element of a Matrix
      731 views
      7. Properties of Determinants
    7. Properties of Determinants
      1893 views
      8. More on Properties of Determinants
    8. More on Properties of Determinants
      1045 views
      9. Problem 1-Properties of Determinants
    9. Problem 1-Properties of Determinants
      1191 views
      10. Problem 2-Properties of Determinants
    10. Problem 2-Properties of Determinants
      688 views
      11. Problem 3-Properties of Determinants
    11. Problem 3-Properties of Determinants
      582 views
      12. Problem 4-Properties of Determinants
    12. Problem 4-Properties of Determinants
      739 views
      13. Properties of Determinants of Order Three
    13. Properties of Determinants of Order Three
      986 views
      14. Problem-Properties of Determinants of Order Three
    14. Problem-Properties of Determinants of Order Three
      674 views
      15. Alternate Method For Expanding a Third Order Determinant
    15. Alternate Method For Expanding a Third Order Determinant
      885 views
      16. Problem-Alternate Method For Expanding a Third Order Determinant
    16. Problem-Alternate Method For Expanding a Third Order Determinant
      490 views
      4.5: Adjoint and Inverse of Square Matrix
      Matrix Inverse Using Adjoint
    1. Matrix Inverse Using Adjoint
      4424 views
      2. More on Matrix Inverse Using Adjoint
    2. More on Matrix Inverse Using Adjoint
      874 views
      3. Adjoint of a Square Matrix of Order n = 3 or n > 3
    3. Adjoint of a Square Matrix of Order n = 3 or n > 3
      722 views
      4.6: Elementary Row Operations on a Matrix
      Triangular Matrices
    1. Triangular Matrices
      4232 views
      2. Problem-Triangular Matrices
    2. Problem-Triangular Matrices
      921 views
      4.7: Echleon and Reduced Echleon Form of Matrices
      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. Inverse of Matrix by Row Operation
    3. Inverse of Matrix by Row Operation
      1299 views
      4. Problem-Inverse of Matrix by Row Operation
    4. Problem-Inverse of Matrix by Row Operation
      468 views
      5. More on Problem- Inverse of Matrix by Row Operation
    5. More on Problem- Inverse of Matrix by Row Operation
      367 views
      6. Inverse of Matrix by Column Operation
    6. Inverse of Matrix by Column Operation
      1421 views
      7. Problem-Inverse of Matrix by Column Operation
    7. Problem-Inverse of Matrix by Column Operation
      334 views
      8. More on Problem-Inverse of Matrix by Column Operation
    8. More on Problem-Inverse of Matrix by Column Operation
      331 views
      9. Rank of a Matrix
    9. Rank of a Matrix
      1486 views
      10. Problem-Rank of a Matrix
    10. Problem-Rank of a Matrix
      631 views
      4.8: System of Non-Homogenous Linear Equations
      Solving a System of Three Non-Homogeneous Linear Equations
    1. Solving a System of Three Non-Homogeneous Linear Equations
      723 views
      2. Problem-Solving a System of Three Non-Homogeneous Linear Equations
    2. Problem-Solving a System of Three Non-Homogeneous Linear Equations
      446 views
      3. Consistency and Inconsistency of a System
    3. Consistency and Inconsistency of a System
      865 views
      4. Problem-Consistency and Inconsistency of a System
    4. Problem-Consistency and Inconsistency of a System
      567 views
      5. Reduced Echelon Form of Matrix
    5. Reduced Echelon Form of Matrix
      792 views
      6. Problem-Reduced Echelon Form of Matrix
    6. Problem-Reduced Echelon Form of Matrix
      514 views
      7. More on Solving Simultaneous Equations-Inversion Method
    7. More on Solving Simultaneous Equations-Inversion Method
      74 views
      8. Solving Simultaneous Equations-Cramers Rule
    8. Solving Simultaneous Equations-Cramers Rule
      8952 views
      9. Problem2-Solving Simultaneous Equations-Cramers Rule
    9. Problem2-Solving Simultaneous Equations-Cramers Rule
      406 views
      4.9: System of Homogenous Linear Equations
      Solution of Homogeneous Linear Equations
    1. Solution of Homogeneous Linear Equations
      1567 views
      2. More on Solution of Homogeneous Linear Equations
    2. More on Solution of Homogeneous Linear Equations
      742 views
      3. Problem-Solution of Homogeneous Linear Equations
    3. Problem-Solution of Homogeneous Linear Equations
      602 views
      4. More on Problem-Solution of Homogeneous Linear Equations
    4. More on Problem-Solution of Homogeneous Linear Equations
      489 views