**Chapter 1: Matrices and Determinants (64 videos)**

**1.1: Matrix**

**Introduction to Matrix****Problem 1: Introduction to Matrix****Order of Matrix****Problem 1: Order of Matrix****Equal Matrices****Problem 1: Equal Matrices**

**1.2: Types of Matrices**

**Row Matrix and Column Matrix****Problem 1: Row Matrix and Column Matrix****Square Matrix and Rectangular Matrix****Problem 1: Square Matrix and Rectangular Matrix****Null Matrix or Zero Matrix****Problem 1: Null Matrix or Zero Matrix****Transpose of a Matrix****Problem 1: Transpose of a Matrix****Negative of Matrix****Problem 1: Negative of Matrix****Symmetric and Skew-Symmetric Matrices****Problem 1: Symmetric and Skew-Symmetric Matrices****Diagonal Matrix****Problem 1: Diagonal Matrix****Scalar Matrix****Problem 1: Scalar Matrix****Identity Matrix****Problem 1: Identity Matrix**

**1.3: Addition and Subtraction of Matrices**

**Addition of Matrices****Problem 1: Addition of Matrices****Subtraction of Matrices****Problem 1: Subtraction of Matrices****Multiplication of Matrix by a Real Number****Problem 1: Multiplication of Matrix by a Real Number****Commutative Law under Addition for Matrices****Problem 1: Commutative Law under Addition for Matrices****Associaitve Law under Addition for Matrices****Problem 1: Associaitve Law under Addition for Matrices****Additive Identity of a Matrix****Problem 1: Additive Identity of a Matrix****Additive Inverse of a Matrix****Problem 1: Additive Inverse of a Matrix**

**1.4: Multiplication of Matrices**

**Multiplication of Matrices****Problem 1: Multiplication of Matrices****Problem 2: Multiplication of Matrices****Associative law under Multiplication of matrices****Problem 1: Associative law under Multiplication of matrices****Distributive Law of Multiplication over Addition for Matrices****Problem 1: Distributive Law of Multiplication over Addition for Matrices****Commutative Law of Multiplication of Matrices****Problem 1: Commutative Law of Multiplication of Matrices****Multiplicative Identity of a Matrix****Problem 1: Multiplicative Identity of a Matrix**

**1.5: Multiplicative Inverse of a Matrix**

**Determinant of 2-by-2 Matrix****Problem 1-Singular and Non-Singular Matrix****Problem 2-Singular and Non-Singular Matrix****Singular and Non-singular Matrix****Problem 1: Singular and Non-singular Matrix****Adjoint of a Matrix****Problem 1: Adjoint of a Matrix****Multiplicative Inverse of a Non-Singular Matrix****Problem 1: Multiplicative Inverse of a Non-Singular Matrix****Inverse of Matrix using Adjoint****Problem 1: Inverse of Matrix using Adjoint****Property for whole transpose of product of Matrices****Problem 1: Property for whole transpose of product of Matrices**