In the last lecture of the Matrix series, Dr. Eaton prepares you on Solving Systems of Equations Using Matrices. You first cover what are matrix equations and then how to use these equations to solve systems of equations. After equating it to standard number equations using the multiplicative inverse, you finish off the lesson with four full video examples.
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.
Solving Systems of Equations Using 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.