Problem
\( \left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]\left[\begin{array}{ll}2 & 4 \\ 6 & 8\end{array}\right] \)
Solution
Step 1 ：\( \left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]\left[\begin{array}{ll}2 & 4 \\ 6 & 8\end{array}\right] = \left[\begin{array}{ll} 1\cdot2+2\cdot6 & 1\cdot4+2\cdot8 \\ 3\cdot2+4\cdot6 & 3\cdot4+4\cdot8 \end{array}\right] \)
Step 2 ：\( \left[\begin{array}{ll} 1\cdot2+2\cdot6 & 1\cdot4+2\cdot8 \\ 3\cdot2+4\cdot6 & 3\cdot4+4\cdot8 \end{array}\right] = \left[\begin{array}{ll} 2+12 & 4+16 \\ 6+24 & 12+32 \end{array}\right] \)
Step 3 ：\( \left[\begin{array}{ll} 2+12 & 4+16 \\ 6+24 & 12+32 \end{array}\right] = \left[\begin{array}{ll} 14 & 20 \\ 30 & 44 \end{array}\right] \)
