# Ch 24: Praxis Mathematics: Matrix Algebra

### About This Chapter

## Praxis Mathematics: Matrices - Chapter Summary

The lessons in this chapter can teach you the properties of a matrix and how to Scalar multiply, multiply, add and subtract matrices and vectors. You will learn how to take a determinant of a matrix and examine the process of finding the inverse. Several lessons consist of practice problems that give you a chance to assess your learning. Here are some of the topics covered in the videos that may help you prepare for the exam questions:

- Understanding the properties of a matrix
- Multiplying a matrix by a scalar
- Adding, subtracting and multiplying matrices
- Taking a determinant of a matrix
- Understanding the relationship of the determinant and the inverse and solutions
- Using matrices to represent systems of equations

Experienced instructors lead you through each video lesson, explaining the skills you'll need in an enjoyable way. By the end of this chapter, you will be familiar with the operations involving matrices that you'll need to know for the test.

### Objectives of the Praxis Mathematics: Matrices Course

In many states, you must pass the Praxis Mathematics test in order to become certified to teach math at the secondary school level. The Praxis Mathematics test consists of 50 multiple-choice questions and has a 2-hour time limit. The lessons included in the Matrices chapter are part of the test's Matrix Algebra section. This section consists of four or five questions and makes up eight to ten percent of the test as a whole.

Each question presents a problem and offers you four possible answers from which to choose. You can familiarize yourself with the test's format and gauge your knowledge of the subject by utilizing the self-assessment quizzes that accompany each video lesson.

### 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.

### 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!

### 3. 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.

### 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.

### 5. Square Matrix: Definition & Concept

A square matrix is a special type of matrix with an equal number of rows and columns. Learn more about square matrices in this lesson, including how to add and multiply them. Then, test your understanding with a short quiz.

### 6. 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.

### 7. 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.

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### Other Chapters

Other chapters within the Praxis Mathematics - Content Knowledge (5161): Practice & Study Guide course

- Praxis Mathematics: Counting Numbers Properties
- Praxis Mathematics: Rational and Irrational Numbers
- Praxis Mathematics: Solving Problems with Reasoning
- Praxis Mathematics: Percents
- Praxis Mathematics: Ratios and Proportions
- Praxis Mathematics: Scientific Notation & Order of Magnitude
- Praxis Mathematics: Algebraic Expressions
- Praxis Mathematics: Algebraic Equations
- Praxis Mathematics: Algebraic Fractions
- Praxis Mathematics: Linear Equations
- Praxis Mathematics: Systems of Equations
- Praxis Mathematics: Radicals Operations
- Praxis Mathematics: Exponents
- Praxis Mathematics: Distance
- Praxis Mathematics: Functions
- Praxis Mathematics: Inverse Functions
- Praxis Mathematics: Logarithmic Functions
- Praxis Mathematics: Rational Functions
- Praxis Mathematics: Complex Numbers Operations
- Praxis Mathematics: Sequences, Series & Probability
- Praxis Mathematics: Combinations & Permutations
- Praxis Mathematics: Quadratic Equations
- Praxis Mathematics: Polynomials
- Praxis Mathematics: Algebraic Formulas
- Praxis Mathematics: Measurement
- Praxis Mathematics: Area
- Praxis Mathematics: Polygons
- Praxis Mathematics: Quadrilaterals
- Praxis Mathematics: Circles
- Praxis Mathematics: Triangles
- Praxis Mathematics: Congruence, Similarity and Transformations
- Praxis Mathematics: Three-Dimensional Space and Volume
- Praxis Mathematics: Data
- Praxis Mathematics: Distributions
- Praxis Mathematics: Graphing
- Praxis Mathematics: Trigonometry
- Praxis Mathematics: Continuity
- Praxis Mathematics: Asymptotes
- Praxis Mathematics: Limits
- Praxis Mathematics: Derivatives
- Praxis Mathematics: Integrals
- Praxis Mathematics: Optimization and Differentiation
- Praxis Mathematics: Theorems
- Praxis Mathematics: Statistics
- Praxis Mathematics: Interpreting Statistics
- Praxis Mathematics: Understanding Logic
- Praxis Mathematics: Content Knowledge Flashcards