Numerical Analysis Questions
LU decomposition, also known as LU factorization, is a method used in numerical analysis to decompose a square matrix into the product of two matrices: a lower triangular matrix (L) and an upper triangular matrix (U). The LU decomposition is often used to solve systems of linear equations, as it simplifies the process of finding the solution. By decomposing the matrix into two triangular matrices, the system of equations can be solved more efficiently and accurately. Additionally, LU decomposition can be used to calculate the determinant of a matrix and to invert a matrix.