Lesson: Solving a System of Two Equations Using a Matrix Inverse Mathematics • 10th Grade
In this lesson, we will learn how to solve a system of two linear equations using the inverse of the matrix of coefficients.
Given that determine the values of and .
Given that what is the value of ?
Consider the simultaneous equations
Express the given simultaneous equations as a matrix equation.
Write down the inverse of the coefficient matrix.
Multiply through by the inverse, on the left-hand side, to solve the matrix equation.