# Linear Algebra Definition

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**Linear algebra definition**.
An arbitrary subset of a linear space like say a cantor set has nothing to do with linear algebra methods so the definition is made to exclude such things.
Linear algebra is the branch of mathematics concerning linear equations such as.
This document contains denitions of some of the important terms used in linear algebra.
A system of linear equations a x b is homogeneous if b 0.
Often written in the form.

In mathematics linear refers to an equation or function that is the equation of a straight line and takes the form y mx b where m is equal to the slope and b is equal to the y intercept. What this means mathematically is that the function has either one or two variables with no exponents or powers. All of these denitions should be memorized and not just memorized but understood. A linear equation is an algebraic equation such as y 4x 3 in which the variables are of the first degree that is raised only to the first power. Linear algebra definition is a branch of mathematics that is concerned with mathematical structures closed under the operations of addition and scalar multiplication and that includes the theory of systems of linear equations matrices determinants vector spaces and linear transformations.

Of or resembling a line. A linear function is any function that graphs to a straight line. Illustrated definition of linear equation. Home math algebra what does linear mean in mathematics. Lets get our feet wet by thinking in terms of vectors and spaces.

Denitions of linear algebra terms in order to learn and understand mathematics it is necessary to understand the meanings of the terms vocabulary words that are used. An equation that makes a straight line when it is graphed. The graph of such an equation is a straight line.