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Main diagonal

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In linear algebra, the main diagonal (sometimes leading diagonal) of a square matrix is the diagonal which runs from the top left corner to the bottom right corner. For example, the following matrix has 1s down its main diagonal:

<math>\begin{bmatrix}

1 & 0 & 0\\ 0 & 1 & 0\\ 0 & 0 & 1\end{bmatrix}</math> A square matrix like the above in which the entries outside the main diagonal are all zero is called a diagonal matrix. The sum of the entries on the main diagonal of a matrix is known as the trace of that matrix. The other diagonal is called antidiagonal, counterdiagonal or minor diagonal.

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Main diagonal from Wíkipedia. ©2006 by Wíkipedia. Licensed under the GNU Free Documentation License. View a list of authors or edit this article.

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