用Octave计算矩阵分配律(1)
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矩阵分配律:\(k(A+B)=kA+kB\)
计算\( 2 \left( \left[ \begin{array}{ccc}
1 & 2 \\
3 & 4
\end{array} \right] + \left[ \begin{array}{ccc}
5 & 6 \\
7 & 8
\end{array} \right] \right) \)和\( 2 \left[ \begin{array}{ccc}
1 & 2 \\
3 & 4
\end{array} \right] + 2 \left[ \begin{array}{ccc}
5 & 6 \\
7 & 8
\end{array} \right] \)
程序代码如下
>> 2 * ([1 2; 3 4] + [5 6; 7 8])
ans =
12 16
20 24
>> 2 * [1 2; 3 4] + 2 * [5 6; 7 8]
ans =
12 16
20 24