Definitions for diagonal matrix
di·ag·o·nal ma·trix

Princeton's WordNetRate this definition:0.0 / 0 votes

1. diagonal matrixnoun

   a square matrix with all elements not on the main diagonal equal to zero

WiktionaryRate this definition:4.0 / 1 vote

1. diagonal matrixnoun

   A matrix in which only the entries on the main diagonal are non-zero.

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1. diagonal matrix

   A diagonal matrix is a type of square matrix where all the elements outside the main diagonal are zero. The main diagonal elements can be zero or non-zero. Its general form is represented as: a11 0 0 ... 0 0 a22 0 ... 0 0 0 a33 ... 0 . . . ... . 0 0 0 ... ann Where a11, a22, a33,..., ann are the main diagonal elements and n represents the number of rows or columns in the matrix.

WikidataRate this definition:3.5 / 2 votes

1. Diagonal matrix

   In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero. The diagonal entries themselves may or may not be zero. Thus, the matrix D = with n columns and n rows is diagonal if: For example, the following matrix is diagonal: The term diagonal matrix may sometimes refer to a rectangular diagonal matrix, which is an m-by-n matrix with only the entries of the form di,i possibly non-zero. For example: However, in the remainder of this article we will consider only square matrices. Any square diagonal matrix is also a symmetric matrix. Also, if the entries come from the field R or C, then it is a normal matrix as well. Equivalently, we can define a diagonal matrix as a matrix that is both upper- and lower-triangular. The identity matrix In and any square zero matrix are diagonal. A one-dimensional matrix is always diagonal.

Matched Categories

1. • Square Matrix

How to pronounce diagonal matrix?

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Numerology

1. Chaldean Numerology

   The numerical value of diagonal matrix in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of diagonal matrix in Pythagorean Numerology is: 4

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=diagonal matrix
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Diagonal_Matrix
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=diagonal matrix