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Linear Algebra

Linear algebra is a large part of mathematics at college. Linear algebra is defined as the branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations. In this article, the terms behind linear algebra are explained.

Matrices are rectangular arrangements of numeric or algebraic quantities that are subject to mathematical operations. They can be added and multiplied with each other. Matrices can also be multiplied with scalars. Throughout the linear algebra course, finding the determinants of matrices and whether the matrices are independent are required. Matrices are essential to learning the more advanced aspects of linear algebra like eigenvalues and linear equations. Discover the basis of matrices and determinants.

Linear equations are simply equations that consist of variables such as x, y and z. In most cases of linear algebra, we are trying to solve for their values. Primary school students have come across it in simple equations like x 1 = 3. At the college level, matrices are used in linear systems that consist of 3 or more linear equations to find out whether the linear system has no solution, unique solution or infinitely many solutions.This method is also known as the Gauss theorem.Learn more on how to solve linear equations here at the college level.

Vector Spaces cover a large and probably the more difficult aspect of linear algebra. Besides having to memorize the 10 axioms that define vector spaces, students are expected to know the characteristics of subspace, linear spanning, null spaces and more. Find out more on the wide range of vector spaces and its applications.

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