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## Linear Algebra

By definition linear algebra is the following: The branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations. (www.ask.com)

Linear algebra studies the formations and equations that make up vectors and matrices. A vector is a basis at which a theory begins. Two vectors that have the same set have the equality of a defined vector. Many of the terms that are used in Linear Algebra are; cardinality, dimension, interval matrix, and isomorphism. The understanding of these terms and the applications are taught in a way the student will be able to apply them in an actual environment. Mixing the variables and matrices will challenge the student to reach farther possibilities; the more variables the more possibilities.

Linear equations refer to two dimensions that form a line. Online Math teaches that when you replace the two dimensions with other vectors or functions you will transform the equation. These equation matrices are used in economics and biology and can by applied to situations beyond physical science. There is no limitation to what can be accomplished in this study..

Linear Algebra is an abstract concept that can be manipulated to prove a theory or point. They are not limited to using just numbers, but letters can be substituted to analysis maps of vector space. Learning Linear Algebra gives the scholar an unlimited field of study by changing the variables, letter and numbers to define a new theory. For example if you have time, area and a distance of a boat on a lake and you factor in the wind and its resistance. You will be able to figure how long it will take to reach point A to point B.

The workbooks and online assistance will guide the student through the inner workings of this area of learning. Step by step problems and explanations are available to make sure the theories are understood and the concepts are grasped. No matter what your expertise is in math, this course will take you to a higher plane of knowledge and learning capability. You will find the problems that are proposed will challenge and the tests will reward the hard work that the student puts in to the daily assignments.

The following lessons will include: Elementary Linear Algebra, Numerical Liner Algebra Applications.