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Show that *: R xxR ->Rdefined by a*b = ...

Show that ` *: R xxR ->R`defined by `a*b = a +2b`is not commutative.

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To show that the operation defined by \( a * b = a + 2b \) is not commutative, we need to demonstrate that \( a * b \neq b * a \) for some values of \( a \) and \( b \). ### Step-by-Step Solution: 1. **Define the operation**: We are given the operation \( a * b = a + 2b \). 2. **Check the commutative property**: An operation is commutative if \( a * b = b * a \) for all \( a, b \in \mathbb{R} \). ...
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