Matrices and Determinants

Chapter 1: Matrices and Determinants (73 videos)   (Practice Test)

1.1: Matrix(Practice Test)

1. Introduction to Matrix
2. More on Introducing Matrix
3. Problem 1: Introduction to Matrix
4. Order of Matrix
5. Problem 1: Order of Matrix
6. Equal Matrices
7. Problem 1: Equal Matrices
8. Problem 2: Equal Matrices

1.2: Types of Matrices(Practice Test)

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. Problem 2: Symmetric & Skew-Symmetric Matrices
14. Diagonal Matrix
15. Problem 1: Diagonal Matrix
16. Scalar Matrix
17. Problem 1: Scalar Matrix
18. Identity Matrix
19. Problem 1: Identity Matrix

1.3: Addition and Subtraction of Matrices(Practice Test)

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(Practice Test)

1. Multiplication of Matrices
2. More on Multiplication of Matrices
3. Problem 1: Multiplication of Matrices
4. Problem 2: Multiplication of Matrices
5. Problem3-Multiplication of Matrices
6. Problem4-Multiplication of Matrices
7. Associative law under Multiplication of matrices
8. Problem 1: Associative law under Multiplication of matrices
9. Distributive Law of Multiplication over Addition for Matrices
10. Problem 1: Distributive Law of Multiplication over Addition for Matri
11. Commutative Law of Multiplication of Matrices
12. Problem 1: Commutative Law of Multiplication of Matrices
13. Multiplicative Identity of a Matrix
14. Problem 1: Multiplicative Identity of a Matrix

1.5: Multiplicative Inverse of a Matrix(Practice Test)

1. Determinant of 2-by-2 Matrix
2. Problem1-Singular and Non-Singular Matrix
3. Singular and Non-singular Matrix
4. Problem 1: Singular and Non-singular Matrix
5. Adjoint of a Matrix
6. Problem 1: Adjoint of a Matrix
7. Multiplicative Inverse of a Non-Singular Matrix
8. Problem 1: Multiplicative Inverse of a Non-Singular Matrix
9. Inverse of Matrix using Adjoint
10. Problem 1: Inverse of Matrix using Adjoint
11. Property for whole transpose of product of Matrices
12. Problem 1: Property for whole transpose of product of Matrices

1.6: Solution of Simultaneous Linear Equations(Practice Test)

1. Solving Simultaneous Equations-Inversion Method
2. More on Use of Matrices Solving Everyday Life Problems
3. Solving Simultaneous Equations-Cramers Rule
4. Problem-Solving Simultaneous Equations-Cramers Rule
5. Matrices and Determinants-Review-Exercise-1-Question 1 to 4 part-1
6. Matrices and Determinants-Review-Exercise-1-Question 4 to 7