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Linear algebra definition. Of or resembling a line. A system of linear equations a x b is homogeneous if b 0. Linear algebra is the branch of mathematics concerning linear equations such as. A linear function is any function that graphs to a straight line. 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.

What this means mathematically is that the function has either one or two variables with no exponents or powers. Illustrated definition of linear equation. All of these denitions should be memorized and not just memorized but understood. Lets get our feet wet by thinking in terms of vectors and spaces. The motivation for insisting on this is that when we want to do linear algebra we need things to be linear 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. This document contains denitions of some of the important terms used in linear algebra. Learn for free about math art computer programming economics physics chemistry biology medicine finance history and more. 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. Two systems of linear equations in n unknowns are equivalent if they have the same set of solutions.

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. Home math algebra what does linear mean in mathematics. The graph of such an equation is a straight line.

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