# Linear Algebra Dot Product

### Mathematics for machine learning. Linear algebra dot product. The name is derived from the centered dot that is often used to designate this operation. In this course on linear algebra we look at what linear algebra is and how it relates to vectors and matrices. In mathematics the dot product is an operation that takes two vectors as input and that returns a scalar number as output. The blas basic linear algebra subprograms are routines that provide standard building blocks for performing basic vector and matrix operations. Then we look through what vectors and matrices are and.

The first four axioms mean that v is an abelian group under addition. The dot product defined in this manner is homogeneous under scaling in each variable meaning that for any scalar a it also satisfies a distributive law meaning that. Elements of a vector space may have various nature. The number returned is dependent on the length of both vectors and on the angle between them. These properties may be summarized by saying that the dot product is a bilinear form.

This page documents the core linear algebra tools included in dlib. Linear algebra from imperial college london. Lets get our feet wet by thinking in terms of vectors and spaces. For example they can be sequences functions polynomials or matriceslinear algebra is concerned with properties common to all vector spaces. The alternative name scalar product emphasizes the scalar rather than vector.