Matrices

This topic covers concepts such as Matrices, Definition of a Matrix, Rows and Columns of a Matrix, Order of a Matrix, Row Matrix, Column Matrix, Zero Matrix (Null Matrix), Square Matrix, Diagonals of a Square Matrix, Trace of a Square Matrix, etc.

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

This topic covers concepts such as Transpose of a Matrix, Order of Transpose of a Matrix and Properties of Transpose of a Matrix.

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

This topic covers concepts such as Determinant, Determinant of a Square Matrix, Minors and Cofactors and Value (Cofactor Expansion) of a Determinant.

This topic covers concepts such as Product of a Row/Column with Cofactors of Another Row/Column, Properties of Determinants, Properties of Determinants under Elementary Transformations, Value of a Determinant Having Identical Rows/Columns, etc.

This topic covers concepts such as Inverse of a Matrix, Invertible Matrices, Properties of Inverse of Matrices, Singular and Non-singular Matrices, Adjoint of a Matrix, Cofactor Matrix and Inverse of a Matrix Using Adjoint.

This topic covers concepts such as Submatrix of a Matrix, Elementary Operation (Transformation) of a Matrix, System of Linear Equations, Non-homogeneous System of Linear Equations, Homogeneous System of Linear Equations, etc.