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Chapter 6: Matrices and Determinants (61 videos)

6.1: Introduction to Matrices
1. Introduction to Matrix
2. Problem 1: Introduction to Matrix
3. Order of Matrix
4. Problem 1: Order of Matrix
5. Location of elements in Matrix
6. Equal Matrices
7. Problem 1: Equal Matrices
8. Problem 2: Equal Matrices
 
6.2: 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
 
6.3: 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. Commutative Law under Addition for Matrices
6. Problem 1: Commutative Law under Addition for Matrices
7. Associaitve Law under Addition for Matrices
8. Problem 1: Associaitve Law under Addition for Matrices
9. Additive Identity of a Matrix
10. Problem 1: Additive Identity of a Matrix
11. Additive Inverse of a Matrix
12. Problem 1: Additive Inverse of a Matrix
 
6.4: Multiplication of Matrices
1. Multiplication of Matrix by a Real Number
2. Problem 1: Multiplication of Matrix by a Real Number
3. Multiplication of Matrices
4. Problem 1: Multiplication of Matrices
5. Problem 2: Multiplication of Matrices
6. Commutative Law of Multiplication of Matrices
7. Problem 1: Commutative Law of Multiplication of Matrices
8. Associative law under Multiplication of matrices
9. Problem 1: Associative law under Multiplication of matrices
10. Distributive Law of Multiplication over Addition for Matrices
11. Problem 1: Distributive Law of Multiplication over Addition for Matri
 
6.5: Multiplicatve Inverse of Matrix
1. Multiplicative Identity of a Matrix
2. Problem 1: Multiplicative Identity of a Matrix
3. Determinant of 2-by-2 Matrix
4. Problem1-Singular and Non-Singular Matrix
5. Problem2-Singular and Non-Singular Matrix
6. Singular and Non-singular Matrix
7. Problem 1: Singular and Non-singular Matrix
8. Multiplicative Inverse of a Non-Singular Matrix
9. Inverse of Matrix using Adjoint
 
6.6: Solution of Simulataneous Linear Equations
1. Solving Simultaneous Equations-Inversion Method
2. Use of Matrices in Solving Everyday Life Problems
3. Solving Simultaneous Equations-Cramers Rule
4. More on Use of Matrices Solving Everyday Life Problems
 

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