A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. They are a crucial part of linear algebra and have various applications in fields like engineering, ...

This Rust program shows how to solve a system of linear equations using matrix inversion using the nalgebra library. It takes a $2\times2$ coefficient matrix and a 2-dimensional result vector, then ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

The aim of this study is to give a Legendre polynomial approximation for the solution of the second order linear hyper-bolic partial differential equations (HPDEs) with two variables and constant ...

Abstract: Matrices are important tools for many fields, and used in solving systems of linear equation. Technological tools are available to work with matrix operations, but still students avoid using ...

Abstract: An H-matrix accelerated direct solver employing the high-order Chebyshev-based Boundary Integral Equation (CBIE) method has been formulated, tested, and profiled for performance on high ...

The Bi-Section method finds roots of non-linear equations using interval bisection. Initial Range Calculation: Determines an initial maximum range ((-|xmax|, |xmax|)) for root existence. Calculation ...