This is a collection of utilities to solve systems of linear equations. They are written in Python and use numpy and matplotlib. Numerous examples are provided. More details about the algorithm can be ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

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 ...

Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...

Problems are often answered in mathematics by solving equations. We use letters to represent an unknown number or value. To solve an equation, we need to find what number the letter in the equation ...

Abstract: The line search has undergone numerous important improvements throughout the years, with many researchers concentrating on offering and developing developments that are suitable techniques ...