Matrices and Determinants
Mathematics Solutions from Chapter -1 - Matrices and Determinants
This chapter covers topics such as Adjoint of a Matrix, Basics of Matrices, Systems of Linear Equations, Properties of Determinants, Inverse of a Matrix, Algebra of Matrices, and Eigenvalues and Characteristic Equation.
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, and Row Matrix.
This topic covers concepts such as Comparable Matrices, Equality of Matrices, Operations on Matrices, Addition of Matrices, Algebraic Properties of Matrix Addition, Condition for Addition of Two Matrices, and Closure Property of Matrix Addition.
This topic covers concepts such as Symmetric and Skew-symmetric Matrices, Symmetric Matrix, Skew-Symmetric Matrix, Properties of Symmetric Matrices, and Properties of Skew-Symmetric Matrices.
This topic covers concepts such as Special Types of Matrices, Idempotent Matrix, Periodic Matrix, Nilpotent Matrix, Involuntary Matrix, Orthogonal Matrix, and Unitary Matrix.
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, and Value of a Determinant Having Identical Rows/Columns.
This topic covers concepts such as Adjoint of a Matrix, Cofactor Matrix, and Properties of Adjoint of Matrices.
This topic covers concepts such as Cancellation Law in Matrix Multiplication, Inverse of a Matrix, Invertible Matrices, Properties of Inverse of Matrices, Methods to Find Inverse of a Matrix, and Inverse of a Matrix by Elementary Transformations.
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, and Consistent and Inconsistent System of Linear Equations.
This topic covers concepts such as Inverse of a Matrix Using Given Polynomial Equation, Characteristic Equation (Polynomial) of a Matrix, and Eigenvalue of Characteristic Equation of a Matrix.
