Publish Date: June 10, 2024

Systems of Linear Equations Basics

Let’s consider a system of three linear equations with three variables and :

To solve this system using matrices, we first represent the system in matrix form. The coefficient matrix is formed by the coefficients of the variables:

The column vector represents the variables and :

And the column vector represents the constants on the right-hand side of the equations:

Now, we can write the system of equations in matrix form as . The goal is to find the vector that satisfies this equation.