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Algebra 2

In Matrices, we build upon the foundation set in Introduction to Matrices, and provide more applications of Matrices that extend further than simple operations and equations. We will introduce Row Operations, and show the steps in Subtracting Matrix Rows or Multiplying Matrix Rows. Challenge yourself with more complex operations such as Gaussian Elimination and Gauss-Jordan Elimination when Recognizing Inconsistent Linear Systems. You will learn how to find Inverses of 2x2 Matrices and discover how to use inverses in other areas, such as Cryptography With Matrices.

- Row Operations
- Multiplying Matrix Rows
- Dividing Matrix Rows
- Adding Matrix Rows
- Subtracting Matrix Rows
- Adding or Subtracting Altered Rows
- Interchanging Matrix Rows
- Using Elementary Row Operations to Solve for Systems of Equations
- Gaussian Elimination
- Gauss-Jordan Elimination
- Solving matrix Equations
- Recognizing Inconsistent Linear Systems
- Recognizing Dependent Linear Systems
- Inverses of 2x2 Matrices
- Singular and Non-Singular Matrices
- Inverses of nxn Matrices
- Verifying that Matrices are Inverses
- Cryptography With Matrices
- The Transpose of an Inverse Matrix

Study fundamental topics in college-level algebra with emphasis on application.

Grasp core concepts of statistics such as probability distributions, approximations, and hypothesis-testing.

Pathways are a sequence of tutorials that help you learn a whole subject area, one concept at a time. Choose from multiple teachers and teaching styles.

The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 26 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.