行列演算
積
\([m\times n]\)行列\(\cdot[n\times p]\)行列 \(=[m\times p]\)行列
行数\(\cdot\)列数\(\rightarrow\)行列
\[
\begin{pmatrix}
a_{00} & a_{01} & a_{02} \\
a_{10} & a_{11} & a_{12} \\
\end{pmatrix}
\times
\begin{pmatrix}
b_{00} & b_{01} \\
b_{10} & b_{11} \\
b_{20} & b_{21}
\end{pmatrix}
=
\begin{pmatrix}
a_{00}b_{00}+a_{01}b_{10}+a_{02}b_{20} &
a_{00}b_{01}+a_{01}b_{11}+a_{02}b_{21} \\
a_{10}b_{00}+a_{11}b_{10}+a_{12}b_{20} &
a_{10}b_{01}+a_{11}b_{11}+a_{12}b_{21}
\end{pmatrix}
\]
Reference
最終更新日:
August 14, 2023
作成日: August 14, 2023
作成日: August 14, 2023