Linear algebra is the branch of mathematics concerning linear
equations. It is central to almost all areas of mathematics. For
instance, linear algebra is fundamental in modern presentations of
geometry, including for defining basic objects such as lines, planes
and rotations. Also, functional analysis may be basically viewed as
the application of linear algebra to spaces of functions. Linear
algebra is also used in most sciences and engineering areas, because
it allows modeling many natural phenomena, and efficiently computing
with such models. For nonlinear systems, which cannot be modeled
with linear algebra, linear algebra is often used as a firstorder
approximation.

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