Linear algebra
Linear algebra 90 languages Article Talk Read Edit View history From Wikipedia, the free encyclopedia In three-dimensional Euclidean space , these three planes represent solutions to linear equations, and their intersection represents the set of common solutions: in this case, a unique point. The blue line is the common solution to two of these equations. 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 b...