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Ch 23: MTEL Middle School Mathematics: Matrices in Linear Algebra

About This Chapter

In these lessons, you will be provided with the opportunity to improve your skills solving algebraic problems with matrices and systems of linear equations for the MTEL Mathematics Middle School exam.

MTEL Middle School Mathematics: Matrices in Linear Algebra - Chapter Summary

Complete these lessons to improve your skills solving systems of linear equations and matrices in linear algebra. Each lesson video is taught by one of our professional instructors, who will help you prepare for related questions on the Massachusetts Tests for Education Licensure (MTEL) Mathematics Middle School exam by demonstrating and explaining a series of example problems. These example problems will include:

  • Writing and augmenting matrices for linear systems
  • Solving mathematical operations with matrices and determining matrix equality
  • Row operations in matrices
  • Inverse matrices
  • Gaussian elimination and linear systems
  • Inconsistent and dependent systems
  • Cramer's rule and inconsistent and dependent systems
  • Determinants of matrices

These lesson videos are mobile device compatible, so you don't have to wait until you are sitting in front of your computer before you can watch them. After watching the lesson videos, read the lesson transcripts to reinforce your retention of the information presented in the lessons. If you come across a topics that confuses you, be sure to use the teacher tabs of the lessons to ask our instructors for assistance.

9 Lessons in Chapter 23: MTEL Middle School Mathematics: Matrices in Linear Algebra
Test your knowledge with a 30-question chapter practice test
What is a Matrix?

1. What is a Matrix?

As math gets more and more complicated and there become more and more numbers flying around, it becomes really handy to put all these numbers in a nice organized grid... hello matrices! Learn about what they are and why there are used.

How to Write an Augmented Matrix for a Linear System

2. How to Write an Augmented Matrix for a Linear System

Watch this video lesson to learn how you can turn your system of equations into matrix form. The matrix form is another way of writing your linear system that is sometimes easier to work with.

Matrix Notation, Equal Matrices & Math Operations with Matrices

3. Matrix Notation, Equal Matrices & Math Operations with Matrices

Watch this video lesson to learn about the basics of matrices and what kinds of math operations you can do with them. Also learn how to determine whether two matrices are the same or not.

How to Perform Matrix Row Operations

4. How to Perform Matrix Row Operations

Watch this video lesson to learn how easy it is to perform row operations on a matrix. Learn how to perform the three basic operations easily and quickly.

How to Solve Inverse Matrices

5. How to Solve Inverse Matrices

Watch this video lesson to learn what kinds of matrix operations you can take to find the inverse of a matrix. Also learn why matrix inverses are useful.

How to Solve Linear Systems Using Gaussian Elimination

6. How to Solve Linear Systems Using Gaussian Elimination

Watch this video lesson to learn an easy way to solve a system of equations that involves manipulating a matrix. Learn the kinds of easy matrix manipulations that are needed to solve any system of equations.

Inconsistent and Dependent Systems: Using Gaussian Elimination

7. Inconsistent and Dependent Systems: Using Gaussian Elimination

Watch this video lesson to learn whether or not you can use Gaussian elimination to solve inconsistent and dependent systems. Also, learn whether there is another way to find solutions of these systems.

Using Cramer's Rule with Inconsistent and Dependent Systems

8. Using Cramer's Rule with Inconsistent and Dependent Systems

Watch this video lesson, and you will see what happens when we use Cramer's Rule with inconsistent and dependent systems. You will see what kind of result you will always get when you try to use Cramer's Rule.

How to Take a Determinant of a Matrix

9. How to Take a Determinant of a Matrix

Matrices are incredibly powerful and can help you do all sorts of things, but one of the most basic (and surprisingly helpful) operations you can perform on one is to take its determinant. Learn how to do that here!

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the MTEL Mathematics (Middle School)(47): Practice & Study Guide course

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