Matrices and Determinants 2.1.3

This mathematics application, "Matrices and Determinants," serves as a comprehensive reference for matrix algebra and its mathematical operations in various applications. It covers a wide range of topics including definitions, types of matrices, equality of matrices, algebra of matrices, properties of matrix addition, scalar multiplication, subtraction of matrices, matrix multiplication, properties of matrix multiplication, transpose of a matrix, properties of transposition, symmetric and skew-symmetric matrices, determinants, singular matrix, adjoint of a square matrix, inverse of a matrix, elementary transformations or operations of a matrix, orthogonal matrix, submatrix, rank of a matrix, theorems on the rank of a matrix, equivalent matrices, echelon form of a matrix, algorithm for finding the rank of a matrix, system of simultaneous linear equations, solutions for non-homogeneous system of linear equations, algorithm for solving non-homogeneous system using the rank method, solution of homogeneous system using the matrix method, and algorithm for solving homogeneous system of linear equations.