Matrices and Determinants
Mathematics Solutions from Chapter -1 - Matrices and Determinants
This chapter covers topics such as Special Types of Matrices, Algebra of Matrices, Basics of Matrices, Symmetric and Skew-Symmetric Matrices, Inverse of a Matrix, System of Linear Equations, Properties of Determinants, etc.
Practice Other Topics from Matrices and Determinants
This topic covers concepts such as Matrices and Determinants, Matrices, Definition of a Matrix, Rows and Columns of a Matrix, Order of a Matrix, Submatrix of a Matrix, Number of Submatrices of a Matrix, Types of Matrices, Horizontal Matrix, etc.
This topic covers concepts such as Comparable Matrices, Equality of Matrices, Operations on Matrices, Condition for Addition of Two Matrices, Addition of Matrices, Algebraic Properties of Matrix Addition, Closure Property of Matrix Addition, etc.
This topic covers concepts such as Symmetric and Skew-symmetric Matrices, Symmetric Matrix, Properties of Symmetric Matrices, 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, Hermitian and Skew-hermitian Matrices, Hermitian Matrix, etc.
This topic covers concepts such as Determinant, Determinant of a Square Matrix, Minors and Cofactors, Product of a Row/Column with Cofactors of Another Row/Column, Value (Cofactor Expansion) of a Determinant, and Transpose of a Determinant.
This topic covers concepts such as Properties of Determinants, Equality of Determinant and Its Transpose, Properties of Determinants under Elementary Transformations, Value of a Determinant Having Identical Rows/Columns, etc.
This topic covers concepts such as Cofactor Matrix, Adjoint of a Matrix, and Properties of Adjoint of Matrices.
This topic covers concepts such as Inverse of a Matrix, Invertible Matrices, Existence of Multiplicative Inverse in Matrices, Properties of Inverse of Matrices, Methods to Find Inverse of a Matrix, Inverse of a Matrix Using Adjoint, etc.
This topic covers concepts such as System of Linear Equations, Non-homogeneous System of Linear Equations, Homogeneous System of Linear Equations, Solutions of System of Linear Equations, Rank of a Matrix, Echelon Form of a Matrix, 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.
