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It would be no different. Matrix addition is Abelian or commutative. Matrix mutiplication is not.

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Q: What would be the result if you add matrices B plus A instead A plus B?
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Is there any benefit in a C plus plus program to add two matrices?

No.


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If you are working with real numbers, or even complex numbers, pq is the same as qp, so the result is the same as 2pq. If you use some multiplication that is NOT commutative (such as, when you multiply matrices), you can't simplify the expression.


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An example of a reaction that would result in decreased entropy is a dehydration reaction.


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