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Main diagonal : ウィキペディア英語版
Main diagonal
In linear algebra, the main diagonal (sometimes principal diagonal, primary diagonal, leading diagonal, or major diagonal) of a matrix A is the collection of entries A_ where i = j. The following three matrices have their main diagonals indicated by red 1's:
:\begin
\color & 0 & 0\\
0 & \color & 0\\
0 & 0 & \color\end
\qquad
\begin
\color & 0 & 0 & 0 \\
0 & \color & 0 & 0 \\
0 & 0 & \color & 0 \end
\qquad
\begin
\color & 0 & 0\\
0 & \color & 0\\
0 & 0 & \color\\
0 & 0 & 0\end
The antidiagonal (sometimes counterdiagonal, secondary diagonal, trailing diagonal or minor diagonal) of a dimension N square matrix, B, is the collection of entries B_ such that i + j = N + 1. That is, it runs from the top right corner to the bottom left corner:
:\begin
0 & 0 & \color\\
0 & \color & 0\\
\color & 0 & 0\end
== See also ==

* Diagonal matrix
* Trace
* Anti-diagonal matrix

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Main diagonal」の詳細全文を読む



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