Optimization in vector spaces

Optimization in vector spaces involves finding the best solution, typically the maximum or minimum value, of a function defined in a vector space, subject to certain constraints. This concept is fundamental in fields such as mathematics, economics, engineering, and computer science. ### Key Concepts: 1. **Vector Spaces**: - A vector space is a collection of vectors that can be added together and multiplied by scalars. These vectors can represent points, directions, or any quantities that have both magnitude and direction.