In Matrix we use initially based on systems of linear equations.The matrix method is similar to the method of Elimination as but is a lot cleaner than the elimination method.Solving systems of equations by Matrix Method involves expressing the system of equations in form of a matrix and then reducing that matrix into what is known as Row Echelon Form.<span>
Calculations
</span>⇒ <span>Rewrite the linear equations above as a matrix </span>
⇒ Apply to Row₂ : Row₂ - 2 <span>Row₁ </span>
⇒ <span>Simplify rows </span>
Note: The matrix is now in echelon form. <span>The steps below are for back substitution. </span> ⇒ Apply to Row₁<span> : Row</span>₁<span> - </span>5 Row₂