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Chapter 7: Matrices (63 videos)

7.1: Introduction
1. Introduction to Matrix
2. Problem 1: Introduction to Matrix
 
7.2: Notation
1. Location of elements in Matrix
2. Problem 1: Location of elements in Matrix
 
7.3: Order of Matrix
1. Order of Matrix
2. Problem 1: Order of Matrix
 
7.4: Location of Elements or Entries
1. Location of elements in Matrix
2. Problem 1: Location of elements in Matrix
 
7.5: Types of Matrices
1. Row Matrix and Column Matrix
2. Problem1-Singular and Non-Singular Matrix
3. Problem 1: Row Matrix and Column Matrix
4. Problem2-Singular and Non-Singular Matrix
5. Square Matrix and Rectangular Matrix
6. Problem 1: Square Matrix and Rectangular Matrix
7. Null Matrix or Zero Matrix
8. Problem 1: Null Matrix or Zero Matrix
9. Negative of Matrix
10. Problem 1: Negative of Matrix
11. Diagonal Matrix
12. Problem 1: Diagonal Matrix
13. Scalar Matrix
14. Problem 1: Scalar Matrix
15. Identity Matrix
16. Problem 1: Identity Matrix
 
7.6: Transpose of Matrix
1. Transpose of a Matrix
2. Problem 1: Transpose of a Matrix
 
7.7: Equality of Matrices
1. Equal Matrices
2. Problem 1: Equal Matrices
3. Problem 2: Equal Matrices
 
7.8: Addition of Matrices
1. Addition of Matrices
2. Problem 1: Addition of Matrices
 
7.9: Additive Identity
1. Additive Identity of a Matrix
2. Problem 1: Additive Identity of a Matrix
 
7.10: Additive Inverse of A Matrix
1. Additive Inverse of a Matrix
2. Problem 1: Additive Inverse of a Matrix
 
7.11: Commutative Property w.r.t Addition
1. Commutative Law under Addition for Matrices
2. Problem 1: Commutative Law under Addition for Matrices
 
7.12: Associative Property w.r.t Addition
1. Associaitve Law under Addition for Matrices
2. Problem 1: Multiplication of Matrices
3. Problem 1: Associaitve Law under Addition for Matrices
4. Problem 2: Multiplication of Matrices
 
7.13: Subtraction of Matrices
1. Subtraction of Matrices
2. Problem 1: Subtraction of Matrices
 
7.14: Multiplication of Matrix by Real Number
1. Multiplication of Matrix by a Real Number
2. Problem 1: Multiplication of Matrix by a Real Number
 
7.15: Matrix Multiplication
1. Multiplication of Matrices
2. Problem 1: Multiplication of Matrices
3. Problem 2: Multiplication of Matrices
 
7.16: Properties of Multiplication of Matrices
1. Associative law under Multiplication of matrices
2. Problem 1: Associative law under Multiplication of matrices
3. Distributive Law of Multiplication over Addition for Matrices
4. Problem 1: Distributive Law of Multiplication over Addition for Matri
 
7.17: Identity Matrix w.r.t Multiplication
1. Multiplicative Identity of a Matrix
2. Problem 1: Multiplicative Identity of a Matrix
 
7.18: Determinant of Matrix
1. Determinant of 2-by-2 Matrix
 
7.19: Singular & Non-Singular Matrices
1. Singular and Non-singular Matrix
2. Problem 1: Singular and Non-singular Matrix
 
7.20: Adjoint of Matrix
1. Adjoint of a Matrix
2. Problem 1: Adjoint of a Matrix
 
7.21: Multiplicative Inverse of Matrix
1. Inverse of Matrix using Adjoint
2. Problem 1: Inverse of Matrix using Adjoint
 
7.22: Solution of Two Simultaneous Linear Equations Using Matrices
1. Solving Simultaneous Equations-Inversion Method
 
7.23: Cramers Rule
1. Solving Simultaneous Equations-Cramers Rule
 

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