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Algebra 2

Determinants are special numbers found by doing special calculations within Matrices. They have powerful applications in advanced math topics in Algebra 2 and Calculus, especially when dealing with polynomials, systems of equations, and even integrals. You will learn how to find 2 x 2 Determinants, 3 x 3 Determinants, and others. Challenge yourself with concepts such as Sarrus' Rule and Laplace Expansion to calculate determinants of larger matrices. After practicing how to calculate determinants in sub-topics Determinant of a Triangular Matrix and Determinant of Interchanged Rows, you will be prepared to evaluate if a system of equations has infinite solutions, or if it has no solutions at all. By mastering granular concepts such as these you will strenthen the critical thinking skills ncessary for further advancement within Algebra 2.

- Determinants
- 2 x 2 Determinants
- Zero Determinant
- Determinant of a Triangular Matrix
- Determinant of the Identity Matrix
- Determinant of an Inverse Matrix
- Determinant of Interchanged Rows
- Using Determinants to Classify 2x2 matrices
- Finding the Determinant of a 2 x 2 Matrix
- Using Determinants to Classify 3x3 matrices
- 3 x 3 Determinants
- Finding the Determinant of an Inverse Matrix
- 4 x 4 Determinants
- Finding the Determinant of a 4x4 Matrix
- Calculating the Determinant Using Any Row or Column
- Sarrus' Rule
- Finding the Determinant of a 3 x 3 Matrix Using Sarrus' Rule
- Laplace Expansion
- Finding the Determinant of a 3 x 3 Matrix using Laplace Expansion
- Minors
- Determining Possible Minors
- Cofactors
- Finding the Cofactor of a Minor
- Multiplying Cofactors

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.