Pengertian
transpose matriks yaitu suatu matriks yang dilakukan pertukaran antara dimensi kolom dan barisnya.
Rumus
- Tranpose Matriks Ordo 2×2
\[A = \begin{pmatrix} a \ \ \ \ \ b \\ c \ \ \ \ \ d \end{pmatrix}, \ A^t = \begin{pmatrix} a \ \ \ \ \ b \\ c \ \ \ \ \ d \end{pmatrix}\]
- Tranpose Matriks Ordo 3×3
\[\ A = \begin{pmatrix} a \ \ \ \ \ b \ \ \ \ \ c \\ d \ \ \ \ \ e \ \ \ \ \ f \\ g \ \ \ \ \ h \ \ \ \ \ i \end{pmatrix}, A^t = \begin{pmatrix} a \ \ \ \ \ d \ \ \ \ \ g \\ b \ \ \ \ \ e \ \ \ \ \ h \\ c \ \ \ \ \ f \ \ \ \ \ i \end{pmatrix}\]
Contoh
\[\ A = \begin{pmatrix} 3 \ \ \ \ \ 1 \ \ \ \ \ 4 \\ 6 \ \ \ \ \ 2 \ \ \ \ \ 3 \\ 1 \ \ \ \ \ 5 \ \ \ \ \ 3 \end{pmatrix}\]
Tentukanlah Tranpos dari matriks diatas!
\[\ A = \begin{pmatrix} 3 \ \ \ \ \ 1 \ \ \ \ \ 4 \\ 6 \ \ \ \ \ 2 \ \ \ \ \ 3 \\ 1 \ \ \ \ \ 5 \ \ \ \ \ 3 \end{pmatrix} = A^t \begin{pmatrix} 3 \ \ \ \ \ 6 \ \ \ \ \ 4 \\ 1 \ \ \ \ \ 2 \ \ \ \ \ 3 \\ 1 \ \ \ \ \ 5 \ \ \ \ \ 3 \end{pmatrix}\]