[Linear Algebra] Matrix operations, row basis transformations, sweep method, factorials, determinants, eigenvalues, eigenvectors, diagonalization
A branch of mathematics that studies the properties of vector spaces and linear maps. It deals mainly with matrices, vectors and systems of linear equations and is widely applied in various fields of science, engineering and economics. The factorial of a matrix indicates the intrinsic dimension of the matrix and the number of independent equations. The number of non-zero rows when the matrix is transformed into a staircase matrix by row basis transformation.