Prove that : $\begin{bmatrix}\overrightarrow{a}+\overrightarrow{b}& \overrightarrow{b}+\overrightarrow{c}&\overrightarrow{c} +\overrightarrow{a}\end{bmatrix}=2\begin{bmatrix}\overrightarrow{a}&\overrightarrow{b}&\overrightarrow{c}\end{bmatrix}$

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