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Chapter 1: Matrices and Determinants (64 videos)

1.1: Matrix
1. Introduction to Matrix
2. Problem 1: Introduction to Matrix
3. Order of Matrix
4. Problem 1: Order of Matrix
5. Equal Matrices
6. Problem 1: Equal Matrices
 
1.2: Types of Matrices
1. Row Matrix and Column Matrix
2. Problem 1: Row Matrix and Column Matrix
3. Square Matrix and Rectangular Matrix
4. Problem 1: Square Matrix and Rectangular Matrix
5. Null Matrix or Zero Matrix
6. Problem 1: Null Matrix or Zero Matrix
7. Transpose of a Matrix
8. Problem 1: Transpose of a Matrix
9. Negative of Matrix
10. Problem 1: Negative of Matrix
11. Symmetric and Skew-Symmetric Matrices
12. Problem 1: Symmetric and Skew-Symmetric Matrices
13. Diagonal Matrix
14. Problem 1: Diagonal Matrix
15. Scalar Matrix
16. Problem 1: Scalar Matrix
17. Identity Matrix
18. Problem 1: Identity Matrix
 
1.3: Addition and Subtraction of Matrices
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. Commutative Law under Addition for Matrices
8. Problem 1: Commutative Law under Addition for Matrices
9. Associaitve Law under Addition for Matrices
10. Problem 1: Associaitve Law under Addition for Matrices
11. Additive Identity of a Matrix
12. Problem 1: Additive Identity of a Matrix
13. Additive Inverse of a Matrix
14. Problem 1: Additive Inverse of a Matrix
 
1.4: Multiplication of Matrices
1. Multiplication of Matrices
2. Problem 1: Multiplication of Matrices
3. Problem 2: Multiplication of Matrices
4. Associative law under Multiplication of matrices
5. Problem 1: Associative law under Multiplication of matrices
6. Distributive Law of Multiplication over Addition for Matrices
7. Problem 1: Distributive Law of Multiplication over Addition for Matri
8. Commutative Law of Multiplication of Matrices
9. Problem 1: Commutative Law of Multiplication of Matrices
10. Multiplicative Identity of a Matrix
11. Problem 1: Multiplicative Identity of a Matrix
 
1.5: Multiplicative Inverse of a Matrix
1. Determinant of 2-by-2 Matrix
2. Problem1-Singular and Non-Singular Matrix
3. Problem2-Singular and Non-Singular Matrix
4. Singular and Non-singular Matrix
5. Problem 1: Singular and Non-singular Matrix
6. Adjoint of a Matrix
7. Problem 1: Adjoint of a Matrix
8. Multiplicative Inverse of a Non-Singular Matrix
9. Problem 1: Multiplicative Inverse of a Non-Singular Matrix
10. Inverse of Matrix using Adjoint
11. Problem 1: Inverse of Matrix using Adjoint
12. Property for whole transpose of product of Matrices
13. Problem 1: Property for whole transpose of product of Matrices
 
1.6: Solution of Simultaneous Linear Equations
1. Solving Simultaneous Equations-Inversion Method
2. Solving Simultaneous Equations-Cramers Rule
 

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