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linear equation |
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linear equationIn mathematics, a relationship between two variables that, when plotted on Cartesian axes, produces a straight-line graph; the equation has the general form y = mx + c, where m is the slope of the line represented by the equation and c is the y-intercept, or the value of y where the line crosses the y-axis in the Cartesian coordinate system. Sets of linear equations can be used to describe the behaviour of buildings, bridges, trusses, and other static structures. |
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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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Linear equations
