FAQs

What is a matrix?

A matrix is a collection of numbers (or other data) arranged in a rectangular array. Matrices are used in various areas of mathematics, science, and engineering to represent data, solve equations, and perform other calculations.

At what grade level are matrices typically taught?

Matrices are typically taught in secondary school, starting around 6th grade and continuing through calculus in high school. However, some schools may introduce simple matrix concepts as early as elementary school.

What is an elementary matrix?

An elementary matrix is a type of matrix used in linear algebra that represents a single elementary row or column operation. These operations include adding, subtracting, or multiplying a row or column by a scalar, as well as interchanging rows or columns.

What is a secondary matrix?

A secondary matrix simply refers to any matrix that is not elementary, i.e. a matrix that does not represent a single row or column operation. This can include any matrix used in more advanced linear algebra, as well as matrices used in other areas of mathematics, science, and engineering.

Matrices in Elementary School

While matrices are generally considered a secondary school topic, some elementary schools may introduce basic matrix concepts to students as early as kindergarten. This may include teaching children how to count and add using visual arrays or grids, which are essentially simple matrices.

Additionally, some schools may incorporate matrix-related activities into their science or technology curriculums. For example, students might learn how to create a simple bar graph or pie chart using matrix formulas in Microsoft Excel.

Matrices in Secondary School

Once students get into secondary school, they will likely begin to learn more formal matrix concepts in their math classes. Some of the topics that might be covered include:

• Matrix notation and operations
• The inverse of a matrix
• Determinants
• Eigenvalues and eigenvectors

Secondary school students might also encounter matrices in other subjects, such as physics or computer science. In physics, matrices can be used to represent vectors and perform transformations in 3D space. In computer science, matrices can be used to create computer graphics, perform image processing, and solve systems of equations.

Resources for Learning About Matrices

If you’re interested in learning more about matrices or need help with your matrix homework, there are plenty of resources available to you online. Here are a few that we recommend:

Khan Academy

Khan Academy is a free online learning platform that offers a wide range of educational resources, including lessons and exercises on matrices. Their matrix content is broken down into beginner, intermediate, and advanced levels, so you can find exactly what you need based on your skill level.

https://www.khanacademy.org/math/linear-algebra

Wolfram Alpha

Wolfram Alpha is a computational knowledge engine that can perform a wide range of mathematical calculations, including those involving matrices. Simply type in your matrix equation or operation, and Wolfram Alpha will provide you with step-by-step solutions and explanations.

https://www.wolframalpha.com/examples/math/algebra/matrices/

MIT OpenCourseWare

MIT OpenCourseWare is a free, online repository of course materials from the Massachusetts Institute of Technology. They offer a variety of linear algebra courses, including one specifically on matrices and their applications. While the courses are designed for college-level students, they may be useful for advanced high school students looking to challenge themselves.

https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/