Ch 3: Overview of Matrices

About This Chapter

Prepare for an upcoming exam, discussion or assignment covering matrices by utilizing this chapter's informative resources. Review fun lessons, take self-assessment quizzes, and get your questions answered by our experts in a secure online environment.

Overview of Matrices - Chapter Summary

This chapter is an excellent resource for anyone looking for help studying matrix concepts. Lessons provide in-depth analyses of the algebraic principles of matrices and are formatted for review via any computer or mobile device. Navigate the lessons at your own pace whenever your schedule permits. When finished, you should be able to:

  • Define and discuss the uses of a matrix
  • Take a determinant of a matrix
  • Understand math operations performed with matrices
  • Determine the inverse of matrix, and calculate the adjugate matrix
  • Write an augmented matrix for a linear system

Take advantage of the flexibility this chapter offers as you set your study schedule. Squeeze in study sessions anytime and anyplace with an Internet connection or via your smartphone. Find out how much you understand before, during or after reviewing each lesson by taking the corresponding self-assessment quiz. To test your knowledge of the entire chapter, take the comprehensive practice exam.

6 Lessons in Chapter 3: Overview of Matrices
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 Take a Determinant of a Matrix

2. 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!

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.

Inverse Matrix: Definition, Properties & Formula

4. Inverse Matrix: Definition, Properties & Formula

Matrices are powerful tools for a wide variety of applications: computer gaming, massive data visualization, and designing buildings for earthquakes. This lesson goes over how to determine the inverse of a matrix and why it might be useful.

Adjugate Matrix: Definition, Formation & Example

5. Adjugate Matrix: Definition, Formation & Example

In this lesson we'll calculate the adjugate matrix. This will require finding minors, determinants, and transposes. All of these steps will be carefully explained with an example.

How to Write an Augmented Matrix for a Linear System

6. 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.

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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