linear equation: Quick Facts

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Figure 7: Effect of round-off errors on the graphic representation of a linear equation.

Figure 6: Graphic solution of a pair of linear equations (see text).

Figure 8: Graphic solution of two linear equations, showing the effect of round-off error. Instead of two ideal lines intersecting in a single point, two narrow bands intersect in a region of finite area.

Figure 9: Graphic solution of two linear equations for which the slopes of the lines are nearly the same. Because the region of intersection is large, the error in the solution is large.

Figure 9: The first example of a system of linear equations in the Nine Chapters. Chinese mathematics, coefficients, algorithms, calculations.

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simultaneous linear equation linear algebra equation quadratic equation differential equation parametric equation discriminant algebraic equation difference equation system of equations integral equation

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