Matrices and Determinants

This topic covers concepts, such as Vertical Matrix, Diagonals of a Square Matrix, Matrices, Types of Matrices, Matrices and Determinants, Upper Triangular Matrix, Row Matrix, Lower Triangular Matrix, Column Matrix, Trace of a Square Matrix, etc.

This topic covers concepts, such as Existence of Additive Identity in Matrices, Equality of Matrices, Associative Property of Matrix Addition, Properties of Matrix Multiplication, Addition of Matrices, Matrix Polynomial Equation, etc.

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

This topic covers concepts, such as Special Types of Matrices, Hermitian Matrix, Involuntary Matrix, Skew-Hermitian Matrix, Orthogonal Matrix, Periodic Matrix, Idempotent Matrix, Properties of Hermitian and Skew-Hermitian Matrices, etc.

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

This topic covers concepts, such as Equality of Determinant and Its Transpose, Determinant of Product of Matrices, Properties of Determinants, The Derivative of a Determinant, Factor Theorem for Determinants, Operations on Determinants, etc.

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

This topic covers concepts, such as Inverse of a Matrix Using Adjoint, Methods to Find Inverse of a Matrix, Inverse of a Matrix, Invertible Matrices, Inverse of a Matrix by Elementary Transformations, Cancellation Law in Matrix Multiplication, etc.

This topic covers concepts, such as Augmented Matrices, Consistent and Inconsistent System of Linear Equations, System of Linear Equations, Homogeneous System of Linear Equations, Solving a System of Linear Equations Using Row Transformations, etc.

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