例題 次の行列の積ABを求めよ.

$\displaystyle A = \left(\begin{array}{rrr}
3&1&7\\
5&2&-4
\end{array}\right), \ \ \ B = \left(\begin{array}{rr}
2&-3\\
3&6\\
4&1
\end{array}\right ) $

解答 行列の積は対応する行と列の内積. $AB = \left(\begin{array}{rr}
2&-3\\
4&2
\end{array}\right)\left(\begin{array}{...
...end{array}\right) =
\left(\begin{array}{cc}
-11&4\\
2&8
\end{array}\right ) . $