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The system's response to <math>cos(2t)\,</math> will be <math>cos(-2t) \,</math> because the systems input <math>x(t)\,</math> yields response <math>y(t)=x(-t)</math>
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The system's response to <math>cos(2t)\,</math> will be <math>cos(-2t) \,</math> because the systems input <math>x(t)\,</math> yields response <math>y(t)=x(-t)\,</math>. In this case the graph of the output will be identical to the input because cosine is an even function.

Revision as of 07:04, 18 September 2008

The system's response to $ cos(2t)\, $ will be $ cos(-2t) \, $ because the systems input $ x(t)\, $ yields response $ y(t)=x(-t)\, $. In this case the graph of the output will be identical to the input because cosine is an even function.

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett