Revision as of 11:37, 12 September 2008 by Serekson (Talk)

A function is linear if there is a single unique x that corresponds to each y. $ y=e^x $
Linear ECE301Fall2008mboutin.jpg
This function is linear because for each y value has only one corresponding x value.

$ y=x^4 $
Nonlinear ECE301Fall2008mboutin.jpg
This function is not linear because for every y value there are two possible x values that could produce the same result.

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett