# Linear Algebra Dot Product

### The first four axioms mean that v is an abelian group under addition.

**Linear algebra dot product**.
This page documents the core linear algebra tools included in dlib.
Lets get our feet wet by thinking in terms of vectors and spaces.
In this course on linear algebra we look at what linear algebra is and how it relates to vectors and matrices.
Definitions of the vector dot product and vector length.
In particular the three most important objects in this part of the library are the matrix vector and rectangleall the other tools on this page are functions for manipulating these three objects.

Mathematics for machine learning. The alternative name scalar product emphasizes the scalar rather than vector. 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. The dot product is thus characterized geometrically by.

Linear algebra from imperial college london. The number returned is dependent on the length of both vectors and on the angle between them. Then we look through what vectors and matrices are and. The name is derived from the centered dot that is often used to designate this operation. These properties may be summarized by saying that the dot product is a bilinear form.