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A linear equation in n-dimensional space is of the form

a1x1 + a2x2 + ... + anxn + c = 0 where the ai are numerical constants and the xi are variables. The equation represents a straight line in n-dimensional space.

A non-linear equation is one in which one or more of the xi have a power other than 1. The equation will represent a curve.

A linear system is one in which you will get the same result if you change an input by the same amount - from whatever starting level. Otherwise the system is non-linear.

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