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Properties of Linear Operators

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In each of parts (a) and (b), an operation * is defined over the set of natural numbers. For each operation, determine these four things.

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Please provide detailed explanation showing all steps and reasoning as well as formal notation for the Proof.

Please post response as a MS Word or PDF file.

Thanks for your time!

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https://brainmass.com/math/linear-algebra/properties-linear-operators-432699

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Solution Summary

Given several linear operators, we determine which are closed, associative, or commutative.

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