Matrices

Matrices are used in a wide range of fields and applications to represent and manipulate data in a structured way. Use these resources to increase your understanding of matrices.

1. Getting started
   • Introduction to matrices
     Use this resource to learn about matrices, their order, and the different types of matrices.
   • Addition and subtraction of matrices
     Use this resource to learn the rules for adding and subtracting matrices.
   • Matrix multiplication
     Use this resource to learn how to multiply matrices.
   • Determinant of a matrix
     Use this resource to learn how to find the determinant of \(2\times2\) and \(3\times3\) matrices.
2. Next steps
   • Special matrices
     Use this resource to learn some of the special matrices you should become familiar with if you are studying a STEM discipline.
   • Inverse of a 2×2 matrix
     Use this resource to learn how to invert \(2\times2\) matrices.
3. Dive deeper
   • Augmented matrices and elementary row operations
     Use this resource to learn how augmented matrices and elementary row operations can be used to solve systems of equations.
   • Inverse of a 3×3 matrix
     Use this resource to learn how to invert \(3\times3\) matrices.
   • Eigenvalues and eigenvectors
     Use this resource to learn how to find eigenvalues and eigenvectors for square matrices.