What does identity matrix mean?
Definitions for identity matrix
iden·ti·ty ma·trix
This dictionary definitions page includes all the possible meanings, example usage and translations of the word identity matrix.
Princeton's WordNet
identity matrix, unit matrixnoun
a scalar matrix in which all of the diagonal elements are unity
Wiktionary
identity matrixnoun
A diagonal matrix all of the diagonal elements of which are equal to 1.
Wikipedia
Identity matrix
In linear algebra, the identity matrix of size n {\displaystyle n} is the n × n {\displaystyle n\times n} square matrix with ones on the main diagonal and zeros elsewhere.
Wikidata
Identity matrix
In linear algebra, the identity matrix or unit matrix of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere. It is denoted by In, or simply by I if the size is immaterial or can be trivially determined by the context. Some mathematics books use U and E to represent the Identity Matrix, although I is considered more universal. When A is m×n, it is a property of matrix multiplication that In particular, the identity matrix serves as the unit of the ring of all n×n matrices, and as the identity element of the general linear group GL consisting of all invertible n×n matrices. Where n×n matrices are used to represent linear transformations from an n-dimensional vector space to itself, In represents the identity function, regardless of the basis. The ith column of an identity matrix is the unit vector ei. It follows that the determinant of the identity matrix is 1 and the trace is n.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of identity matrix in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of identity matrix in Pythagorean Numerology is: 2
Translations for identity matrix
From our Multilingual Translation Dictionary
- EinheitsmatrixGerman
- matriz identidadSpanish
- ühikmaatriksEstonian
- yksikkömatriisi, identiteettimatriisiFinnish
- matrice identité, matrice unitéFrench
- egységmátrix, identitásmátrixHungarian
- einingarfylkiIcelandic
- matrice identitàItalian
- 単位行列Japanese
- eenheidsmatrixDutch
- identitetsmatriseNorwegian
- macierz jednostkowaPolish
- едини́чная ма́трицаRussian
- enhetsmatrisSwedish
Get even more translations for identity matrix »
Translation
Find a translation for the identity matrix definition in other languages:
Select another language:
- - Select -
- 简体中文 (Chinese - Simplified)
- 繁體中文 (Chinese - Traditional)
- Español (Spanish)
- Esperanto (Esperanto)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Gaeilge (Irish)
- Українська (Ukrainian)
- اردو (Urdu)
- Magyar (Hungarian)
- मानक हिन्दी (Hindi)
- Indonesia (Indonesian)
- Italiano (Italian)
- தமிழ் (Tamil)
- Türkçe (Turkish)
- తెలుగు (Telugu)
- ภาษาไทย (Thai)
- Tiếng Việt (Vietnamese)
- Čeština (Czech)
- Polski (Polish)
- Bahasa Indonesia (Indonesian)
- Românește (Romanian)
- Nederlands (Dutch)
- Ελληνικά (Greek)
- Latinum (Latin)
- Svenska (Swedish)
- Dansk (Danish)
- Suomi (Finnish)
- فارسی (Persian)
- ייִדיש (Yiddish)
- հայերեն (Armenian)
- Norsk (Norwegian)
- English (English)
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Citation
Use the citation below to add this definition to your bibliography:
Style:MLAChicagoAPA
"identity matrix." Definitions.net. STANDS4 LLC, 2024. Web. 2 May 2024. <https://www.definitions.net/definition/identity+matrix>.
Discuss these identity matrix definitions with the community:
Report Comment
We're doing our best to make sure our content is useful, accurate and safe.
If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.
Attachment
You need to be logged in to favorite.
Log In