The binary operation, defined in terms of vector addition,

\begin{align*} A + B & = \begin{pmatrix} \vphantom{\bigg(} \vec{a}_1 & \cdots & \vec{a}_n \end{pmatrix} + \begin{pmatrix} \vphantom{\bigg(} \vec{b}_1 & \cdots & \vec{b}_n \end{pmatrix} \\[1ex] & = \begin{pmatrix} \vphantom{\bigg(} \vec{a}_1 + \vec{b}_1 & \cdots & \vec{a}_n + \vec{b}_n \end{pmatrix} \end{align*}

with

\begin{equation*} A_{m \times n}, B_{m \times n}, \end{equation*}

where	\(A, B\)	are the terms and
	\(A + B\)	is the sum.

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• Properties