👉 Projection math is a fundamental concept in linear algebra that involves finding the closest vector to a given point within a specific subspace. Given a vector and a subspace, projection math calculates the vector that minimizes the distance between them. This is achieved by decomposing the original vector into components parallel and perpendicular to the subspace, ensuring the projection lies entirely within the subspace. The formula involves inner products and scalar multiplications, making it essential for solving problems in areas like least squares approximation, machine learning, and optimization.
