# Linear Algebra Dot Product

### In mathematics the dot product is an operation that takes two vectors as input and that returns a scalar number as output.

**Linear algebra dot product**.
Definitions of the vector dot product and vector length.
The blas basic linear algebra subprograms are routines that provide standard building blocks for performing basic vector and matrix operations.
The dot product is thus characterized geometrically by.
In this course on linear algebra we look at what linear algebra is and how it relates to vectors and matrices.
Lets get our feet wet by thinking in terms of vectors and spaces.

Then we look through what vectors and matrices are and. For example they can be sequences functions polynomials or matriceslinear algebra is concerned with properties common to all vector spaces. The first four axioms mean that v is an abelian group under addition. This page documents the core linear algebra tools included in dlib. 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. The alternative name scalar product emphasizes the scalar rather than vector. 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. These properties may be summarized by saying that the dot product is a bilinear form. Elements of a vector space may have various nature.