What does leading diagonal mean?

Definitions for leading diagonal
lead·ing di·ag·o·nal

This dictionary definitions page includes all the possible meanings, example usage and translations of the word leading diagonal.

Wiktionary

  1. leading diagonalnoun

    A main diagonal.

Wikipedia

  1. leading diagonal

    In linear algebra, the main diagonal (sometimes principal diagonal, primary diagonal, leading diagonal, major diagonal, or good diagonal) of a matrix A {\displaystyle A} is the list of entries a i , j {\displaystyle a_{i,j}} where i = j {\displaystyle i=j} . All off-diagonal elements are zero in a diagonal matrix. The following four matrices have their main diagonals indicated by red ones: [ 1 0 0 0 1 0 0 0 1 ] [ 1 0 0 0 0 1 0 0 0 0 1 0 ] [ 1 0 0 0 1 0 0 0 1 0 0 0 ] [ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 ] {\displaystyle {\begin{bmatrix}\color {red}{1}&0&0\\0&\color {red}{1}&0\\0&0&\color {red}{1}\end{bmatrix}}\qquad {\begin{bmatrix}\color {red}{1}&0&0&0\\0&\color {red}{1}&0&0\\0&0&\color {red}{1}&0\end{bmatrix}}\qquad {\begin{bmatrix}\color {red}{1}&0&0\\0&\color {red}{1}&0\\0&0&\color {red}{1}\\0&0&0\end{bmatrix}}\qquad {\begin{bmatrix}\color {red}{1}&0&0&0\\0&\color {red}{1}&0&0\\0&0&\color {red}{1}&0\\0&0&0&\color {red}{1}\end{bmatrix}}\qquad }

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Numerology

  1. Chaldean Numerology

    The numerical value of leading diagonal in Chaldean Numerology is: 2

  2. Pythagorean Numerology

    The numerical value of leading diagonal in Pythagorean Numerology is: 7

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"leading diagonal." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/leading+diagonal>.

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