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
| x | = | Constant |
|---|---|---|
| = | ||
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.