Matrices and Determinants

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    Chapter 2 Matrices and Determinants ( 141 videos)  (Practice Test)

      2.1: Matrices (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. Null Matrix or Zero Matrix
    15. Null Matrix or Zero Matrix
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      16. Practical Application of Matrices
    16. Practical Application of Matrices
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      17. Problem-Null Matrix or Zero Matrix
    17. Problem-Null Matrix or Zero 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. Triangular Matrices
    24. Triangular Matrices
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      25. Problem-Triangular Matrices
    25. Problem-Triangular Matrices
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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. Symmetric & Skew-Symmetric Matrices
    28. Symmetric & Skew-Symmetric Matrices
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      29. Problem1-Symmetric & Skew-Symmetric Matrices
    29. Problem1-Symmetric & Skew-Symmetric Matrices
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      30. Problem2-Symmetric & Skew-Symmetric Matrices
    30. Problem2-Symmetric & Skew-Symmetric Matrices
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      31. Negative of Matrix
    31. Negative of Matrix
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      32. Problem-Negative of Matrix
    32. Problem-Negative of Matrix
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      33. Adjoint of Matrix
    33. Adjoint of Matrix
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      34. Problem-Adjoint of Matrix
    34. Problem-Adjoint of Matrix
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      35. Hermitian and Skew Hermitian Matrix
    35. Hermitian and Skew Hermitian Matrix
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      36. Problem-Hermitian and Skew Hermitian Matrix
    36. Problem-Hermitian and Skew Hermitian Matrix
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      2.2: Algebra of Matrices (Practice Test)
      Multiplication of Matrix by Real Number
    1. Multiplication of Matrix by Real Number
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      2. Problem-Multiplication of Matrix by Real Number
    2. Problem-Multiplication of Matrix by Real Number
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      3. Addition of Matrices
    3. Addition of Matrices
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      4. Problem-Addition of Matrices
    4. Problem-Addition of Matrices
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      5. Subtraction of Matrices
    5. Subtraction of Matrices
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      6. Problem-Subtraction of Matrices
    6. Problem-Subtraction of Matrices
      1949 views
      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
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      10. Problem3-Multiplication of Matrices
    10. Problem3-Multiplication of Matrices
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      11. Commutative Law Under Addition for Matrices
    11. Commutative Law Under Addition for Matrices
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      12. Problem-Commutative Law Under Addition for Matrices
    12. Problem-Commutative Law Under Addition for Matrices
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      13. Associative Law under Addition and Multiplication of Matrices
    13. Associative Law under Addition and Multiplication of Matrices
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      14. Problem-Associative Law Under Addition for Matrices
    14. Problem-Associative Law Under Addition for Matrices
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      15. Additive Identity of a Matrix
    15. Additive Identity of a Matrix
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      16. Problem-Additive Identity of a Matrix
    16. Problem-Additive Identity of a Matrix
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      17. Additive Inverse of a Matrix
    17. Additive Inverse of a Matrix
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      18. Problem-Additive Inverse of a Matrix
    18. Problem-Additive Inverse of a Matrix
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      19. Commutative Law of Multiplication of Matrices
    19. Commutative Law of Multiplication of Matrices
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      20. Problem-Commutative Law of Multiplication of Matrices
    20. Problem-Commutative Law of Multiplication of Matrices
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      21. Properties of Scalar Multiplication
    21. Properties of Scalar Multiplication
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      22. Prove That c(AB) = (cA)B = A(cB)
    22. Prove That c(AB) = (cA)B = A(cB)
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      23. Problem-Prove That c(AB) = (cA)B = A(cB)
    23. Problem-Prove That c(AB) = (cA)B = A(cB)
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      24. Associative Law under Multiplication of Matrices
    24. Associative Law under Multiplication of Matrices
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      25. Problem-Associative Law under Multiplication of Matrices
    25. Problem-Associative Law under Multiplication of Matrices
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      26. Distributive Law of Matrices
    26. Distributive Law of Matrices
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      27. Problem-Distributivity of Matrices
    27. Problem-Distributivity of Matrices
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      28. Multiplicative Identity of a Matrix
    28. Multiplicative Identity of a Matrix
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      29. Problem-Multiplicative Identity of a Matrix
    29. Problem-Multiplicative Identity of a Matrix
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      30. Properties of Transposed Matrices
    30. Properties of Transposed Matrices
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      31. Problem-Properties of Transposed Matrices
    31. Problem-Properties of Transposed Matrices
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      32. Transpose of Product of Matrices
    32. Transpose of Product of Matrices
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      33. Property for Whole Inverse of Product of Matrices
    33. Property for Whole Inverse of Product of Matrices
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      34. More on Property for Whole Inverse of Product of Matrices
    34. More on Property for Whole Inverse of Product of Matrices
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      35. Problem- Matrices Law for Whole Transpose of Product
    35. Problem- Matrices Law for Whole Transpose of Product
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      2.3: Determinants (Practice Test)
      Determinant of 2-by-2 Matrix
    1. Determinant of 2-by-2 Matrix
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      2. Determinant of a Sqaure Matrix of Order 3 or greater
    2. Determinant of a Sqaure Matrix of Order 3 or greater
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      3. Problem-Determinant of a Sqaure Matrix of Order 3 or greater
    3. Problem-Determinant of a Sqaure Matrix of Order 3 or greater
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      4. Minor of an Element of a Matrix and Its Determinant
    4. Minor of an Element of a Matrix and Its Determinant
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      5. Problem-Minor of an Element of a Matrix or Its Determinant
    5. Problem-Minor of an Element of a Matrix or Its Determinant
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      6. Cofactor of an Element of a Matrix
    6. Cofactor of an Element of a Matrix
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      7. Problem-Cofactor of an Element of a Matrix
    7. Problem-Cofactor of an Element of a Matrix
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      8. Singular and Non-Singular Matrix
    8. Singular and Non-Singular Matrix
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      9. Problem-Singular and Non-Singular Matrix
    9. Problem-Singular and Non-Singular Matrix
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      10. Adjoint of Matrix
    10. Adjoint of Matrix
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      11. Problem-Adjoint of Matrix
    11. Problem-Adjoint of Matrix
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      12. Matrix Inverse Using Adjoint
    12. Matrix Inverse Using Adjoint
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      13. Problem1-Matrix Inverse Using Adjoint
    13. Problem1-Matrix Inverse Using Adjoint
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      14. Property for Whole Inverse of Product of Matrices
    14. Property for Whole Inverse of Product of Matrices
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      15. More on Property for Whole Inverse of Product of Matrices
    15. More on Property for Whole Inverse of Product of Matrices
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      16. Problem- Matrices Law for Whole Transpose of Product
    16. Problem- Matrices Law for Whole Transpose of Product
      1406 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
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      10. Problem-Alternate Method For Expanding a Third Order Determinant
    10. Problem-Alternate Method For Expanding a Third Order Determinant
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      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
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      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
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      16. Problem-Rank of a Matrix
    16. Problem-Rank of a Matrix
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      17. Invertible Matrix
    17. Invertible Matrix
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      18. Problem-Invertible Matrix
    18. Problem-Invertible Matrix
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      19. Theorems on Invertible Matrix
    19. Theorems on Invertible Matrix
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      20. More Theorems on Invertible Matrix
    20. More Theorems on Invertible Matrix
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      2.6: Solving 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. 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
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      6. Problem-Solution of Homogeneous Linear Equations
    6. Problem-Solution of Homogeneous Linear Equations
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      7. More on Problem-Solution of Homogeneous Linear Equations
    7. More on Problem-Solution of Homogeneous Linear Equations
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      8. Consistency and Inconsistency of a System
    8. Consistency and Inconsistency of a System
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      9. Problem-Consistency and Inconsistency of a System
    9. Problem-Consistency and Inconsistency of a System
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      10. Solution of System of Linear Equations by Row Operation
    10. Solution of System of Linear Equations by Row Operation
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      11. Problem-Solution of System of Linear Equations by Row Operation
    11. Problem-Solution of System of Linear Equations by Row Operation
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      12. Problem-More on Solution of System of Linear Equations by Row Operation
    12. Problem-More on Solution of System of Linear Equations by Row Operation
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      13. Solving a System of Three Non-Homogeneous Linear Equations
    13. Solving a System of Three Non-Homogeneous Linear Equations
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      14. Problem-Solving a System of Three Non-Homogeneous Linear Equations
    14. Problem-Solving a System of Three Non-Homogeneous Linear Equations
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      15. Echelon Form of Matrix
    15. Echelon Form of Matrix
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      16. Problem-Echelon Form of Matrix
    16. Problem-Echelon Form of Matrix
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      17. Reduced Echelon Form of Matrix
    17. Reduced Echelon Form of Matrix
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      18. Problem-Reduced Echelon Form of Matrix
    18. Problem-Reduced Echelon Form of Matrix
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      19. Solving Simultaneous Equations-Inversion Method
    19. Solving Simultaneous Equations-Inversion Method
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      20. Problem-Solving Simultaneous Equations-Inversion Method
    20. Problem-Solving Simultaneous Equations-Inversion Method
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      21. More on Solving Simultaneous Equations-Inversion Method
    21. More on Solving Simultaneous Equations-Inversion Method
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      22. Solving Simultaneous Equations-Cramers Rule
    22. Solving Simultaneous Equations-Cramers Rule
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      23. Problem1-Solving Simultaneous Equations-Cramers Rule
    23. Problem1-Solving Simultaneous Equations-Cramers Rule
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      24. Problem2-Solving Simultaneous Equations-Cramers Rule
    24. Problem2-Solving Simultaneous Equations-Cramers Rule
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