# Rotation Matrix

A rotation matrix is a matrix that corresponds to the linear transformation of a rotation.

Rotation matrix is a high school-level concept that would be first encountered in a pre-calculus course.

### Prerequisites

Linear Transformation: | A function from one vector space to another. If bases are chosen for the vector spaces, a linear transformation can be given by a matrix. |

Matrix: | A matrix is a concise and useful way of uniquely representing and working with linear transformations. In particular, for every linear transformation, there exists exactly one corresponding matrix, and every matrix corresponds to a unique linear transformation. The matrix is an extremely important concept in linear algebra. |

Rotation: | A rotation is the turning of an object or coordinate system about a fixed point. |