Rotation Matrix

A rotation matrix is a mathematical tool used to rotate objects or points in space without changing their size or shape. Imagine rotating a picture on a wall—the matrix tells you how to turn every point of the image around a specific axis or point, such as turning it left or right. It's represented as a grid of numbers (a matrix) that, when multiplied with the coordinates of each point, results in the new, rotated position. Rotation matrices are essential in fields like computer graphics, robotics, and engineering to accurately manipulate objects’ orientations.