Math 9th Class

Math 9th Class

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+Chapter-1: Matrices and Determinants

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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
7. Problem 2: 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 Matri


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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