Matrices

This topic covers concepts, such as Matrices, Definition of a Matrix, Rows and Columns of a Matrix, and Order of a Matrix.

This topic covers concepts, such as Types of Matrices, Row Matrix, Column Matrix, Zero Matrix (Null Matrix), Square Matrix, Diagonals of a Square Matrix, Diagonal Matrix, Scalar Matrix, Unit Matrix (Identity Matrix), and Equality of Matrices.

This topic covers concepts, such as Operations on Matrices, Addition of Matrices, Algebraic Properties of Matrix Addition, Condition for Addition of Two Matrices, Closure Property of Matrix Addition, Commutative Property of Matrix Addition, etc.

This topic covers concepts, such as Symmetric Matrix, Properties of Symmetric Matrices, Skew-Symmetric Matrix, Properties of Skew-Symmetric Matrices, and Square Matrix as a Sum of Symmetric and Skew-Symmetric Matrices.

This topic covers concepts, such as Elementary Operation (Transformation) of a Matrix, Interchange of Rows/Columns of a Matrix, Multiplication of Rows/Columns of a Matrix by Non-zero Number, etc.

This topic covers concepts, such as Existence of Multiplicative Inverse in Matrices, Invertible Matrices, Inverse of a Matrix, Properties of Inverse of Matrices, and Inverse of a Matrix by Elementary Transformations.