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 ...

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 ...

Simultaneous equations like 𝒚 = 2𝒙 - 1 and 𝒚 = 𝒙 + 1 can be represented graphically. To solve the equations graphically, the two lines 𝒚 = 𝒙 + 1 and 𝒚 = 2𝒙 - 1 are drawn on the same diagram.

Simultaneous linear equations are used to model situations where two relationships must be satisfied at the same time. These problems often involve two interdependent variables, such as comparing ...

The aim of this project is to compare and analyze the behavior of the different numerical methods used for solving system of linear equations: Gauss Elimination. Gauss Jordan. LU Decomposition. Gauss ...

To find solutions from graphs, look for the point where the two graphs cross one another. This is the solution point. For example, the solution for the graphs \(y = x + 1\) and \(x + y = 3\) is the ...

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 ...

Abstract: In this paper, the calculation of the steady-state operation of a radial/meshed electrical distribution system (EDS) through solving a system of linear equations (non-iterative load flow) is ...