Transponeeritud maatriks: erinevus redaktsioonide vahel

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JAnDbot (arutelu | kaastöö)
P robot muutis: sv:Transponat
182. rida:
A=
\begin{bmatrix}
a_{11} & a_{2112} & a_{3113} \\
a_{1221} & a_{22} & a_{3223} \\
\end{bmatrix}</math>
ja <math>
B=
\begin{bmatrix}
b_{11} & b_{2112} \\
b_{1221} & b_{2122} \\
b_{1331} & b_{2132}
\end{bmatrix}</math>
, siis
199. rida:
\left(
\begin{bmatrix}
a_{11} & a_{2112} & a_{3113} \\
a_{1221} & a_{22} & a_{3223} \\
\end{bmatrix}
\begin{bmatrix}
b_{11} & b_{2112} \\
b_{1221} & b_{2122} \\
b_{1331} & b_{2132}
\end{bmatrix}
\right) ^\mathrm{T}</math>
212. rida:
=
\begin{bmatrix}
a_{11}*b_{11}+a_{2112}*b_{1221}+a_{3113}*b_{1331} & a_{11}*b_{2112}+a_{2112}*b_{22}+a_{3113}*b_{2332} \\
a_{1221}*b_{11}+a_{22}*b_{1221}+a_{3223}*b_{1331} & a_{1221}*b_{2112}+a_{22}*b_{22}+a_{3223}*b_{2332} \\
\end{bmatrix}^\mathrm{T}
</math>
220. rida:
=
\begin{bmatrix}
a_{11}*b_{11}+a_{2112}*b_{1221}+a_{3113}*b_{1331} & a_{1221}*b_{11}+a_{22}*b_{1221}+a_{3223}*b_{1331} \\
a_{11}*b_{2112}+a_{2112}*b_{22}+a_{3113}*b_{2332} & a_{1221}*b_{2112}+a_{22}*b_{22}+a_{3223}*b_{2332} \\
\end{bmatrix}
</math>
229. rida:
=
\begin{bmatrix}
b_{11} & b_{2112} \\
b_{1221} & b_{2122} \\
b_{1331} & b_{2132}
\end{bmatrix}^\mathrm{T}
\begin{bmatrix}
a_{11} & a_{2112} & a_{3113} \\
a_{1221} & a_{22} & a_{3223} \\
\end{bmatrix}^\mathrm{T}
=
\begin{bmatrix}
b_{11} & b_{1221} & b_{1331}\\
b_{2112} & b_{2122} & b_{2132} \\
\end{bmatrix}
\begin{bmatrix}
a_{11} & a_{1221} \\
a_{2112} & a_{22} \\
a_{3113} & a_{3223}
\end{bmatrix}</math>
 
251. rida:
=
\begin{bmatrix}
a_{11}*b_{11}+a_{2112}*b_{1221}+a_{3113}*b_{1331} & a_{1221}*b_{11}+a_{22}*b_{1221}+a_{3223}*b_{1331} \\
a_{11}*b_{2112}+a_{2112}*b_{22}+a_{3113}*b_{2332} & a_{1221}*b_{2112}+a_{22}*b_{22}+a_{3223}*b_{2332} \\
\end{bmatrix}
</math>