Educator

Solving Systems of Equations with Matrices

• We can write a system of equations in matrix form. The result is a matrix equation.

• A system of equations can be solved using matrices. The solution is the product of the inverse of the matrix of coefficients and the matrix of constants.

• The system has a unique solution if and only if the matrix of coefficients has an inverse.

• If the matrix of coefficients does not have an inverse, then either there is no solution or there are an infinite number of solutions.