$\begin{array}{l}\left(\begin{array}{c}3\\ 1\end{array}\right)+\left(\begin{array}{c}2\\ 6\end{array}\right)\\ \end{array}$

Addiere die Vektoren komponentenweise.

$=\left(\begin{array}{c}3+2\\ 1+6\end{array}\right)=\left(\begin{array}{c}5\\ 7\end{array}\right)$

$\begin{array}{l}\left(\begin{array}{c}1\\ 2\\ 3\end{array}\right)+\left(\begin{array}{c}1\\ 2\\ 3\end{array}\right)\\ \end{array}$

Addiere die Vektoren komponentenweise.

$\begin{array}{l}\left(\begin{array}{c}2\\ 0\end{array}\right)+\left(\begin{array}{c}\mathrm{4,5}\\ \mathrm{1,5}\end{array}\right)+\left(\begin{array}{c}-2\\ 1\end{array}\right)\\ \end{array}$

Addiere die Vektoren komponentenweise.

$\begin{array}{l}\left(\begin{array}{c}-3\\ 3\\ -3\end{array}\right)+\left(\begin{array}{c}3\\ -3\\ 3\end{array}\right)\\ \end{array}$

Addiere die Vektoren komponentenweise.

$\begin{array}{l}(\left(\begin{array}{c}4\\ 8\\ 16\\ 32\end{array}\right)+\left(\begin{array}{c}5\\ 8\\ -10\\ 7\end{array}\right))+(\left(\begin{array}{c}-5\\ -8\\ 10\\ -7\end{array}\right)+\left(\begin{array}{c}6\\ 111\\ 90\\ -45\end{array}\right))\\ \end{array}$

Addiere zuerst die Vektoren in den Klammern komponentenweise.

$\begin{array}{l}=\left(\begin{array}{c}4+5\\ 8+8\\ 16-10\\ 32+7\end{array}\right)+\left(\begin{array}{c}-5+6\\ -8+111\\ 10+90\\ -7-45\end{array}\right)\\ \end{array}$

$=\left(\begin{array}{c}9\\ 16\\ 6\\ 39\end{array}\right)+\left(\begin{array}{c}1\\ 103\\ 100\\ -52\end{array}\right)$

Addiere die Vektoren komponentenweise.