Mixed-Features Vectors and Subspace Splitting

What is a vector? Many are familiar with the concept of a vector as: • Something which has magnitude and direction. • an ordered pair or triple. • a description for quantities such as Force, velocity and acceleration. Such vectors belong to the foundation vector space -R n -of all vector spaces. The properties of general vector spaces are based on the properties of R n . It is therefore helpful to consider briefly the nature of R n .