Linear Equation System Solver

Solve systems of linear equations quickly and easily. Enter your coefficients and constants below to find the solution.

Coefficient Matrix

Enter the coefficients for your equations:

Constant Vector

Enter the constant values for each equation:

Solution Vector

System Visualization

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Understanding Linear Equations

A linear equation is an equation in which the highest power of the variable is always 1. A system of linear equations is a set of two or more linear equations that are solved together. Our tool helps you solve these systems by using matrices.

How to Use This Solver:

Enter the coefficients of your linear equations into the Coefficient Matrix. Each row represents an equation, and each column represents a variable (x1, x2, x3, etc.).
Enter the constant terms for each equation in the Constant Vector.
Click the "Calculate" button to find the solution.
The Solution Vector will display the values of the variables that satisfy the system of equations.
Use the "Copy Solution" button to copy the results to your clipboard.
"Reset" will clear all inputs and outputs, allowing you to start fresh.

This tool uses the LU decomposition method from mathjs library to solve the systems efficiently.