linear algebra
Noun
Meaning
the part of algebra that deals with the theory of linear equations and linear transformation
Source: WordNetSynonyms
Hypernyms
Examples
A basis of a Hilbert space is not the same thing as a basis in the sense of linear algebra above.
Below are just some examples of applications of linear algebra.
For example, it can be used with linear algebra to find the "best fit" linear approximation for a set of points in a domain.
If a mapping is not an isomorphism, linear algebra is interested in finding its range (or image) and the set of elements that get mapped to zero, called the kernel of the mapping.
In 1844 Hermann Grassmann published his “Theory of Extension” which included foundational new topics of what is today called linear algebra.
In contrast, linear algebra deals mostly with finite-dimensional spaces, and does not use topology.