Exercise VS.M12 Chris Black

Let $V$ be the set $\complex{2}$ with the usual scalar multiplication, but with vector addition defined by \begin{equation*} \colvector{x\\y} + \colvector{z\\w} = \colvector{y + w \\ x + z} \end{equation*} Determine whether or not $V$ is a vector space with these operations.

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