# Chapter 4: Matrices

Created by: CK-12

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## Introduction

This chapter of Algebra II explores the concept of organizing data into matrices and operations involving matrices. Matrices and their operations will be used in this chapter to solve matrix equations and systems of linear equations with and without a calculator.

## Chapter Outline

- 4.1. Defining and Comparing Matrices
- 4.2. Adding and Subtracting Matrices
- 4.3. Multiplying Matrices by a Scalar
- 4.4. Multiplying Two Matrices
- 4.5. Limitations of Matrix Multiplication
- 4.6. Using All Matrix Operations
- 4.7. Finding Determinants of Matrices
- 4.8. Cramer's Rule
- 4.9. Finding the Inverse of a Matrix
- 4.10. Solving a Matrix Equation
- 4.11. Writing and Solving a Matrix Equation for a Linear System
- 4.12. Solving Linear Systems Using Matrices and Technology

### Chapter Summary

## Summary

This chapter is all about matrices, a way to organize data. Here, you will learn how to add, subtract, and multiply them, find the determinant and inverse of 2x2 and 3x3 matrices. Then, you will use matrices to solve systems of equations.

### Image Attributions

## Description

This chapter covers matrix operations as well as solving matrix equations and systems of linear equations with and without a calculator.

## Difficulty Level:

At Grade## Tags:

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## Date Created:

Oct 08, 2013## Last Modified:

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