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Ch 4: Matrices in Linear Algebra Lesson Plans

About This Chapter

The Matrices in Linear Algebra chapter of this course is designed to help you plan and teach matrix row operations in your classroom. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

Below is a sample breakdown of the Matrices in Linear Algebra chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day Topics Key Terms and Concepts Covered
Monday Matrix basics Square and identity matrices, equal matrices, methods for writing an augmented matrix for a linear system, matrux notation
Tuesday Matrix row operations Switching; addition, multiplication and subtraction with matrices
Wednesday Inverse matrices Methods for finding the inverse of a matrix, applications of the multiplicative inverse
Thursday Linear system problem solving Uses of Gaussian and Gauss-Jordan elimination
Friday Inconsistent and dependent systems Strategies for working with linear systems with no or infinite solutions, Cramer's rule

10 Lessons in Chapter 4: Matrices in Linear Algebra Lesson Plans
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.

Multiplicative Inverses of Matrices and Matrix Equations

6. Multiplicative Inverses of Matrices and Matrix Equations

Watch this video lesson to learn about another method you can use to solve a matrix problem if you are given the inverse of the matrix. You will also learn the identifying mark of the multiplicative inverse of a matrix.

How to Solve Linear Systems Using Gaussian Elimination

7. 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.

How to Solve Linear Systems Using Gauss-Jordan Elimination

8. How to Solve Linear Systems Using Gauss-Jordan Elimination

You will come across simple linear systems and more complex ones as you progress in math. Watch this video lesson to learn how you can use Gauss-Jordan elimination to help you solve these linear systems.

Inconsistent and Dependent Systems: Using Gaussian Elimination

9. 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

10. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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