# Ch 18: High School Algebra: Matrices and Absolute Value

### About This Chapter

## Matrices and Absolute Value - Chapter Summary and Learning Objectives

Matrices are number grids that serve as the basis for linear mathematics. Absolute values are how far a number is from zero no matter if the number is positive or negative. Our instructors show you how matrices are used in mathematics as well as explain how absolute values are important. In addition to our video lessons, you will find quizzes that help you determine your progress for understanding matrix and absolute value concepts. This chapter is designed to teach you how to:

- Take a determinant of a 2x2 matrix
- Graph an absolute value
- Evaluate complicated absolute value equations
- Explain why matrices and absolute values are useful

Video | Objective |
---|---|

What is a Matrix? | Introduce what a matrix is and why they are useful. |

How to Take a Determinant of a Matrix | Learn how to take a determinant of a 2x2 matrix. |

What is an Absolute Value? | Introduce what an absolute value is and why they are useful. |

How to Evaluate Absolute Value Expressions | Learn how to evaluate complicated absolute value equations. |

How to Solve an Absolute Value Equation | Learn how to solve an absolute value equation. |

Solving Absolute Value Practice Problems | Get practice solving absolute values. |

How to Graph an Absolute Value and Do Transformations | Learn how to graph an absolute value. |

Graphing Absolute Value Equations: Dilations and Reflections | Get practice graphing absolute values. |

### 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. What is an Absolute Value?

When we're talking and comparing numbers, we often don't care whether its positive or negative, just how big it is. This is often called the magnitude of a number and we find it by taking the absolute value. Learn all about it here!

### 4. How to Evaluate Absolute Value Expressions

Substituting values into absolute values doesn't have to be too hard, but it can be if you're given deceiving beginning information. See if you're up to it by checking out this video!

### 5. How to Solve an Absolute Value Equation

Once you get familiar with any new operation, the next step in any algebra class is to learn how to solve equations with that operation in them. Absolute values are no different. Solve absolute value equations here!

### 6. Solving Absolute Value Practice Problems

There are many easy mistakes to make when solving absolute value equations. Learn how to avoid those mistakes here by working on examples of absolute value equations with operations on the inside and the outside of the absolute value.

### 7. How to Graph an Absolute Value and Do Transformations

Absolute value graphs normally look like the letter 'V', but transformations can change that 'V' in a number of different ways. As well as teaching you how to graph absolute values, this video will focus on a specific group of transformations called translations. Learn all about what that means here!

### 8. Graphing Absolute Value Equations: Dilations & Reflections

Although a basic absolute value graph isn't complicated, transformations can make them sufficiently confusing! In this lesson, you'll practice different transformations of absolute value graphs.

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### Other Chapters

Other chapters within the Algebra I: High School course

- High School Algebra: Solving Math Word Problems
- High School Algebra: Percent Notation
- High School Algebra: Calculations, Ratios, Percent & Proportions
- High School Algebra: Real Numbers
- High School Algebra: Exponents and Exponential Expressions
- High School Algebra: Properties of Exponents
- High School Algebra: Radical Expressions
- High School Algebra: Algebraic Expressions and Equations
- High School Algebra: Algebraic Distribution
- High School Algebra: Properties of Functions
- High School Algebra: Working With Inequalities
- High School Algebra: Linear Equations
- High School Algebra: Factoring
- High School Algebra: Quadratic Equations
- High School Algebra: Graphing and Factoring Quadratic Equations
- High School Algebra: Properties of Polynomial Functions
- High School Algebra: Rational Expressions
- High School Algebra: Data, Statistics, and Probability