# Linear Algebra Dot Product

### 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.

**Linear algebra dot product**.
Definitions of the vector dot product and vector length.
The number returned is dependent on the length of both vectors and on the angle between them.
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.
These properties may be summarized by saying that the dot product is a bilinear form.

The name is derived from the centered dot that is often used to designate this operation. The alternative name scalar product emphasizes the scalar rather than vector. Mathematics for machine learning. The first four axioms mean that v is an abelian group under addition. The dot product is thus characterized geometrically by.

Elements of a vector space may have various nature. In this course on linear algebra we look at what linear algebra is and how it relates to vectors and matrices. This page documents the core linear algebra tools included in dlib. Lets get our feet wet by thinking in terms of vectors and spaces. Then we look through what vectors and matrices are and.