Matrices and Determinants
Mathematics Solutions from Chapter -1 - Matrices and Determinants
This chapter covers topics, such as Algebra of Matrices, Eigenvalues and Characteristic Equation, System of Linear Equations, Properties of Determinants, Special Types of Matrices, Adjoint of a Matrix, Determinant of a Square Matrix, etc.
Practice Other Topics from Matrices and Determinants
This topic covers concepts, such as Matrices and Determinants, Definition of a Matrix, Column Matrix, Lower Triangular Matrix, Number of Submatrices of a Matrix, Types of Matrices, Scalar Matrix, Rows and Columns of a Matrix, etc.
This topic covers concepts, such as Properties of Matrix Multiplication, Addition of Multiple of a Row/Column to Another Row/Column in a Matrix, Existence of Multiplicative Identity in Matrices, Matrix Polynomial Equation, etc.
This topic covers concepts, such as Skew-Symmetric Matrix, Symmetric Matrix, Properties of Symmetric Matrices, Properties of Skew-Symmetric Matrices, and Square Matrix as a Sum of Symmetric and Skew-Symmetric Matrices.
This topic covers concepts, such as Involuntary Matrix, Special Types of Matrices, Skew-hermitian Matrix, Orthogonal Matrix, Nilpotent Matrix, Hermitian Matrix, Idempotent Matrix, Periodic Matrix, Unitary Matrix, etc.
This topic covers concepts, such as Determinant, Transpose of a Determinant, Determinant of a Square Matrix, Product of a Row/Column with Cofactors of Another Row/Column, Value (Cofactor Expansion) of a Determinant, and Minors and Cofactors.
This topic covers concepts, such as Application of Determinants in Finding Line through Two Points, Determinant as a Product of Two Determinants, Determinant of Product of Matrices, Singular and Non-singular Matrices, etc.
This topic covers concepts, such as Properties of Adjoint of Matrices, Adjoint of a Matrix and Cofactor Matrix.
This topic covers concepts, such as Inverse of a Matrix by Elementary Transformations, Inverse of a Matrix Using Adjoint, Existence of Multiplicative Inverse in Matrices, Invertible Matrices, Cancellation Law in Matrix Multiplication, etc.
This topic covers concepts, such as System of Linear Equations, Consistent and Inconsistent System of Linear Equations, Inverse Matrix Method to Solve System of Linear Equations, Homogeneous System of Linear Equations, etc.
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.
