In this lecture, you will learn how to Solve Systems of Equations using Matrices. First, Professor Fraser will walk you through Matrix Equations and using those to Solve Systems of Equations. A series of extra examples round out this lesson.
We can write a
system of equations in matrix form. The result is a matrix
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
The system has a
unique solution if and only if the matrix of coefficients has an
If the matrix of
coefficients does not have an inverse, then either there is no
solution or there are an infinite number of solutions.
Solving Systems of Equations with Matrices
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.