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linear equation
(redirected from Linear equations)

   Also found in: Wikipedia, Hutchinson 0.14 sec.
linear equation
n.
An algebraic equation, such as y = 2x + 7 or 3x + 2y - z = 4, in which the highest degree term in the variable or variables is of the first degree. The graph of such an equation is a straight line if there are two variables.

linear equation
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). The graph of such an equation is a straight line.
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.linear equation - a polynomial equation of the first degree
equation - a mathematical statement that two expressions are equal

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The book provides guidance not only on systems of linear equations and matrix algebra but also on the often-harder-to-grasp topics of vector spaces, linear transformations, determinants, and eigenvector problems.
In fact, a recent text in numerical linear algebra [1] characterizes the eigenvalue problem as "the third major problem area in matrix computations," after linear equations and least squares.
Equations (10), (11) and (14) can be regarded as three homogeneous linear equations in the [k.
 
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