Matrix Representation of Linear Systems

Visualize systems of linear equations in matrix form (AX=B). Enter your equations and see the matrices come to life!

System of Equations

Number of Equations:

Number of Variables:

Matrix Representations

Coefficient Matrix (A)

Variable Matrix (X)

Constant Matrix (B)

Understanding Matrix Representation of Linear Systems

A system of linear equations can be compactly represented in matrix form as AX=B. Here, 'A' is the coefficient matrix containing the coefficients of the variables, 'X' is the variable matrix (a column matrix of variables), and 'B' is the constant matrix (a column matrix of constants from the equations).

For example, consider the system:

2x + 3y = 8
x - y = 1

This can be represented in matrix form where:

A = [[2, 3], [1, -1]] (Coefficient Matrix)
X = [x, y] (Variable Matrix)
B = [8, 1] (Constant Matrix)

This matrix representation is fundamental in linear algebra and is used to solve systems of equations, understand linear transformations, and more. Use this tool to easily convert your systems of equations into matrix form!