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:
“When I consider the short duration of my life, swallowed up in the eternity before and after, the little space which I fill and even can see, engulfed in the infinite immensity of spaces of which I am ignorant and which know me not, I am frightened and am astonished at being here rather than there. For there is no reason why here rather than there, why now rather than then.”
—Blaise Pascal (1623–1662)