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# Linear Álgebra

Linear algebra is the study of linear equations, vector spaces, linear maps and Euclidean spaces. The subject covers all topics in a first year college in a linear algebra course. Linear Algebra finds applications in virtually every area of mathematics, including Multivariate Calculus, Differential Equations, and Probability Theory. The subject will mainly develop the theory of Linear Algebra, and will focus on the computational aspects. Linear Algebra as the structure underlying in the study of the Euclidean Geometry is developed and explained with a interesting figure description of the movements in the space. The mathematical formulas are also written with different color in order to make easier the compression of the subject. ### Víctor Giménez Martínez

Obligatoria, curso 1º
Grado Ingeniero en Informática.

Last review (mayo 2012). Créditos ECTS: 6.

#### ABSTRACT

Linear algebra is the study of linear equations, vector spaces, linear maps and Euclidean spaces. The subject covers all topics in a first year college in a linear algebra course. Linear Algebra finds applications in virtually every area of mathematics, including Multivariate Calculus, Differential Equations, and Probability Theory. The subject will mainly develop the theory of Linear Algebra, and will focus on the computational aspects. Linear Algebra as the structure underlying in the study of the Euclidean Geometry is developed and explained with a interesting figure description of the movements in the space. The mathematical formulas are also written with different color in order to make easier the compression of the subject.

#### TARGETS

Solve the linear equations systems and to clearly understand why the set of solutions is a vector space of  .

To clearly understand the vector space structure. (Probably one of the most important mathematic structures).

To study the linear transformation, understanding their relations with their associated matrices.

To study the Euclidean space as an over structure of the vector spaces.

To learn how to classifier the movements in the space according to the features of their associated matrices.

##### Acciones de Documento
Copyright 2009, Autores y colaboradores. Reconocer autoría/Citar obra. Martínez, V. G. (2010, March 08). Linear Álgebra. Retrieved March 21, 2019, from OCW UPM - OpenCourseWare de la Universidad Politécnica de Madrid Web site: http://ocw.upm.es/algebra/linear-algebra. Esta obra se publica bajo una licencia Licencia Creative Commons Nuevas Asignaturas!!

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