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Chapter 9: Algebraic Sentences, Matrices and Equations (50 videos)

9.1: Linear Equation in 2 Variables; The Solution Set
1. Algebraic Expressions & Algebraic Sentences
2. Problem 1: Algebraic Expressions & Algebraic Sentences
3. Solution of Simple Linear Equations in two Variables
4. Problem 1: Solution of Simple Linear Equations in two Variables
 
9.2: Graph of a Linear Equation in 2 Variable
1. Graphical Solution of Simultaneous Linear Equations
 
9.3: 2 by 2 Matrices
1. Introduction to Matrix
2. Order of Matrix
3. Problem 1: Introduction to Matrix
4. Location of elements in Matrix
5. Square Matrix and Rectangular Matrix
6. Problem 1: Order of Matrix
7. Problem 1: Location of elements in Matrix
8. Problem 1: Square Matrix and Rectangular Matrix
 
9.4: Addition of Matrices
1. Null Matrix or Zero Matrix
2. Problem 1: Null Matrix or Zero Matrix
3. Negative of Matrix
4. Addition of Matrices
5. Problem 1: Negative of Matrix
6. Subtraction of Matrices
7. Commutative Law under Addition for Matrices
8. Problem 1: Addition of Matrices
9. Diagonal Matrix
10. Scalar Matrix
11. Identity Matrix
12. Problem 1: Subtraction of Matrices
13. Problem 1: Commutative Law under Addition for Matrices
14. Problem 1: Diagonal Matrix
15. Problem 1: Scalar Matrix
16. Problem 1: Identity Matrix
 
9.5: Multiplication of Matrices
1. Multiplication of Matrices
2. Multiplicative Identity of a Matrix
3. Problem 1: Multiplication of Matrices
4. Problem 2: Multiplication of Matrices
5. Determinant of 2-by-2 Matrix
6. Singular and Non-singular Matrix
7. Multiplicative Inverse of a Non-Singular Matrix
8. Problem 1: Multiplicative Identity of a Matrix
9. Inverse of Matrix using Adjoint
10. Problem1-Singular and Non-Singular Matrix
11. Problem2-Singular and Non-Singular Matrix
12. Problem 1: Singular and Non-singular Matrix
13. Problem 1: Multiplicative Inverse of a Non-Singular Matrix
14. Problem 1: Inverse of Matrix using Adjoint
 
9.6: Use of Matrices
1. Solving Simultaneous Equations-Inversion Method
2. Solving Simultaneous Equations-Cramers Rule
3. Use of Matrices in Solving Everyday Life Problems
 
9.7: Properties of Simulataneous Equations and Their Algebraic Solutions
1. Solving Simultaneous Linear Equations by Substitution
2. Problem 1: Solving Simultaneous Linear Equations by Substitution
3. Soving Simultaneous Lnear Equations by Comparison
4. Solving Simultaneous Linear Equations-Equating-Co-efficient
 

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