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\text { Let } V=\mathbb{R}^{2} \text {, define vector addition by } \left(\begin{array}{l}

a_{1} \\

a_{2}

\end{array}\right)+\left(\begin{array}{l}

b_{1} \\

b_{2}

\end{array}\right)=\left(\begin{array}{l}

a_{1}-b_{1} \\

a_{2}+b_{2}

\end{array}\right) and scalar multiplication your answer.as usual. Is V a vector space over R with these operations?

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