Matrices and Determinants

This topic covers concepts, such as, Matrices, Definition of a Matrix, Upper Triangular Matrix & Lower Triangular Matrix etc.

This topic covers concepts, such as, Existence of Multiplicative Inverse in Matrices, Elementary Operation (Transformation) of a Matrix, Matrix Polynomial & Matrix Polynomial Equation etc.

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

This topic covers concepts, such as, Special Types of Matrices, Idempotent Matrix, Periodic Matrix, Nilpotent Matrix, Involuntary Matrix, Orthogonal Matrix & Unitary Matrix etc.

This topic covers concepts, such as, Determinant, Determinant of a Square Matrix, Value (Cofactor Expansion) of a Determinant, Transpose of a Determinant, Minors and Cofactors & Product of a Row/Column with Cofactors of Another Row/Column etc.

This topic covers concepts such as Operations on Determinants, Multiplication of Two Determinants, Determinant as a Product of Two Determinants and Summation of Determinants etc.

This topic covers concepts such as Application of Determinants in Finding Line through Two Points, Application of Determinants in Checking Collinearity of Three Points, Application of Determinants in Geometry and Application of Determinants in Finding Area of Triangle etc.

This topic covers concepts, such as, Adjoint of a Matrix, Cofactor Matrix & Properties of Adjoint of Matrices etc.

This topic covers concepts, such as, Inverse of a Matrix Using Adjoint, Inverse of a Matrix, Cancellation Law in Matrix Multiplication & Methods to Find Inverse of a Matrix etc.

This topic covers concepts, such as, System of Linear Equations, Solutions of System of Linear Equations, Rank of a Matrix & Rank Method: Consistency of a System of Linear Equations etc.

This topic covers concepts, such as, Characteristic Equation (Polynomial) of a Matrix, Eigenvalue of Characteristic Equation of a Matrix & Inverse of a Matrix Using Given Polynomial Equation etc.