Lesson: Solving a System of Three Equations Using a Matrix Inverse Mathematics • 10th Grade
In this lesson, we will learn how to solve a system of three linear equations using the inverse of the matrix of coefficients.
Consider the system of equations
Express the system as a single matrix equation.
Work out the inverse of the coefficient matrix.
Multiply through by the inverse, on the left-hand side, to solve the matrix equation.
Use matrices to solve the following system of equations:
Use the inverse of a matrix to solve the system of linear equations , , and .