Vector Spaces
In advanced mathematics, a linear function means a function that is a linear map, that is, a map between two vector spaces that preserves vector addition and scalar multiplication. For example, if and are represented as coordinate vectors, then the linear functions are those functions that can be expressed as
where M is a matrix. A function
is a linear map if and only if = 0. For other values of this falls in the more general class of affine maps.
Linear functions form the basis of linear algebra.
Read more about this topic: Linear Function
Famous quotes containing the word spaces:
“Every true man is a cause, a country, and an age; requires infinite spaces and numbers and time fully to accomplish his design;—and posterity seem to follow his steps as a train of clients.”
—Ralph Waldo Emerson (1803–1882)