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Definition

A linear system is one that satisfies both superposition and homogeneity. Superposition means that the system passes the following test: $ f(x+y)=f(x)+f(y) $. Homogeneity means that system passes the following test: $ f(ax)=af(x) $.


Example of a Linear System

Example of a Non-Linear System

Alumni Liaison

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

Dr. Paul Garrett