Revision as of 07:58, 11 September 2008 by Drecord (Talk)

Linearity

Linearity- A system is linear if a constant that multiplies an input to a system is also present in the output. Adding any number of linear combinations of complex numbers and functions of time together does not affect the linearity of the system.

A*x1(t) + B*x2(t) => A*y1(t) + B*y2(t) .... extendable for any amount of complex numbers (A, B, C...) and functions (x1, x2, x3...)

Linear System:  y[n] = 4 * x[n]
Let x1[n] = $ 2n $ 
    x2[n] = $ n^2 $

x1[n] + x2[n] = xtot[n] = $ 2n + n^2 $ ===> ytot[n] = 4* xtot[n] = $ 8n + 4n^2 $

Alumni Liaison

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

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