Cramer's Rule Solver

Solve systems of linear equations effortlessly using Cramer's Rule. Just input your matrices and get instant, step-by-step solutions.

Understanding Cramer's Rule

Cramer's Rule is a method for solving systems of linear equations using determinants. For a system of n linear equations with n variables, represented as \(AX = B\), the solution for each variable \(x_i\) is given by:

Where \(A_i\) is formed by replacing the \(i\)-th column of \(A\) with \(B\), and \(\det(A)\) is the determinant of matrix \(A\).

Coefficient Matrix (A)

Constant Matrix (B)

System of Equations

Solution Vector (X)

Solution Visualization

Visual representation of the solution values.

Cramer's Rule Solver - Quick Guide

Cramer's Rule is a method to solve linear equations, especially useful when the number of equations equals variables. It involves determinants of matrices. This tool simplifies solving systems \(AX = B\) by just inputting matrices A (coefficients) and B (constants).

How to Use:

Enter coefficients into 'Coefficient Matrix (A)'. Each row is an equation, columns are variables.
Input constants into 'Constant Matrix (B)'.
Click 'Solve' to apply Cramer's Rule.
'Solution Vector (X)' shows variable values.
'Copy Solution' to copy results.

Ideal for students and professionals for quick linear equation solutions. Note: Cramer's Rule works best when the determinant of matrix A is not zero.