Definitions for principal diagonal
prin·ci·pal diag·o·nal

Princeton's WordNetRate this definition:0.0 / 0 votes

1. main diagonal, principal diagonalnoun

   the diagonal of a square matrix running from the upper left entry to the lower right entry

WikipediaRate this definition:0.0 / 0 votes

1. principal 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 }

Matched Categories

1. • Diagonal

How to pronounce principal diagonal?

1. Alex

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   David

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   Mark

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   Daniel

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   Libby

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Numerology

1. Chaldean Numerology

   The numerical value of principal diagonal in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of principal diagonal in Pythagorean Numerology is: 8

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=principal diagonal
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Principal_Diagonal