A rectangular arrangement of numbers, symbols, or expressions in rows and columns
In math, a matrix is a way to organize numbers or values into rows and columns — kind of like a spreadsheet or a table.
Each item in a matrix is called an element, and we describe where it is based on its row and column. For example, in this matrix:
We call it a 2 by 2 matrix (written 2×2) because it has 2 rows and 2 columns. The number in the top right? That’s 4, and it’s in row 1, column 2.
Why do we use matrices (plural for “matrix”)?
We can use matrices to:
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Keep track of data
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Represent systems of equations
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Show transformations in geometry
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Perform operations like addition and multiplication
We use matrices in computer graphics, science experiments, coding, and robotics. Matrices are everywhere once you know how to spot them!
When Do Students Learn About Matrices?
Students usually begin learning about matrices in middle or high school as they expand into algebra and systems of equations.
Grades 6–8 – Introduction to Matrices
Students may be introduced to matrices as a tool for organizing information or performing simple operations.
Grades 9+ – Applying Matrices in Algebra and Beyond
Students explore matrix operations, transformations, and systems of linear equations.
