# Linear Algebra Dot Product

### Then we look through what vectors and matrices are and.

**Linear algebra dot product**.
This page documents the core linear algebra tools included in dlib.
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.
The name is derived from the centered dot that is often used to designate this operation.
Linear algebra from imperial college london.

The first four axioms mean that v is an abelian group under addition. In mathematics the dot product is an operation that takes two vectors as input and that returns a scalar number as output. For example they can be sequences functions polynomials or matriceslinear algebra is concerned with properties common to all vector spaces. Definitions of the vector dot product and vector length. These properties may be summarized by saying that the dot product is a bilinear form.

Mathematics for machine learning. The blas basic linear algebra subprograms are routines that provide standard building blocks for performing basic vector and matrix operations. Lets get our feet wet by thinking in terms of vectors and spaces. 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. The dot product is thus characterized geometrically by.