LINEAR ALGEBRA
Linear algebra is the branch of mathematics concerning linear equations such as: � 1 � 1 + ⋯ + � � � � = � , linear maps such as: ( � 1 , … , � � ) ↦ � 1 � 1 + ⋯ + � � � � , and their representations in vector spaces and through matrices . [1] [2] [3] Linear algebra 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 , a branch of mathematical analysis , may be viewed as the application of linear algebra to spaces of functions . Linear algebra is also used in most sciences and fields of engineering , because it allows modeling many natural phenomena, and computing efficiently with such models. For nonlinear systems , which cannot be modeled with linear algebra, it is often us...