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transpose
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Transpose
- This article is about the transpose of a matrix. For other uses, see Transposition
- reflect A over its main diagonal (which runs top-left to bottom-right) to obtain AT
- write the rows of A as the columns of AT
- write the columns of A as the rows of AT
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Matrice transposée
La matrice transposée (on dit aussi la transposée) d'une matrice 
est la matrice notée 
(parfois aussi notée 
, 
ou 
), obtenue en échangeant les lignes et les colonnes de 
.
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Macierz transponowana
Macierz transponowana (przestawiona) macierzy 
to macierz 
, która powstaje z danej poprzez zamianę jej wierszy na kolumny i kolumn na wiersze. Operację tworzenia macierzy transponowanej nazywamy transpozycją (przestawianiem).
Dla macierzy 
:
.
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Matrice trasposta
In matematica, l'operatore di trasposizione, che si denota con un apice o con una T ad esponente, associa ad una matrice la sua relativa trasposta, ovvero la matrice il cui generico elemento con indici (i,j) è l'elemento con indici (j,i) della matrice originaria. In simboli:
Praticamente, la matrice trasposta si deve intendere come una matrice in cui le colonne diventano righe e le righe diventano colonne.
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転置行列
転置行列（てんちぎょうれつ、transposed matrix）とは m 行n 列の行列 A に対して A の (i, j) 要素と (j, i) 要素を入れ替えた n 行 m 列の行列、つまり対角線で成分を折り返した行列のことである。転置行列は AT や tA、また Atr などと表現される。
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