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 }

ChatGPTRate this definition:0.0 / 0 votes

1. principal diagonal

   The principal diagonal of a matrix or 2D array refers to the collection of elements that run diagonally from the top-left corner to the bottom-right corner. Similarly, in the realm of mathematics and linear algebra, the principal diagonal of a square matrix is the diagonal that starts from the top left and ends at the bottom right. This is also known as the main diagonal or leading diagonal.

Matched Categories

1. • Diagonal

How to pronounce PRINCIPAL DIAGONAL?

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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
3. ^ ChatGPT
   https://chat.openai.com