Tensor Product

A tensor product is a mathematical operation that combines two vectors, matrices, or more complex objects into a new, larger object capturing all interactions between their components. Think of it as a way to systematically pair every element of one object with every element of another, creating a comprehensive, multidimensional structure. It’s widely used in fields like physics and engineering to describe complex systems, such as multi-particle states or combined transformations, providing a formal framework to analyze combined properties and relationships in a consistent and precise manner.