Multilinear Algebra is a branch of mathematics that extends linear algebra by studying functions that take multiple vectors as inputs. It focuses on concepts like tensors, which are mathematical objects that generalize scalars, vectors, and matrices. This field is essential in various applications, including physics, engineering, and computer science.
In Multilinear Algebra, operations such as tensor products and multilinear maps are explored. These operations help in understanding complex systems and relationships between multiple variables. The study of multilinear algebra is crucial for fields like machine learning, quantum mechanics, and differential geometry.