What does eigenvalue of a matrix mean?
Definitions for eigenvalue of a matrix
ei·gen·val·ue of a ma·trix
This dictionary definitions page includes all the possible meanings, example usage and translations of the word eigenvalue of a matrix.
Princeton's WordNet
eigenvalue, eigenvalue of a matrix, eigenvalue of a square matrix, characteristic root of a square matrixnoun
(mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
ChatGPT
eigenvalue of a matrix
An eigenvalue of a matrix is a scalar, λ, associated with a given square matrix such that when the matrix is multiplied by a vector (the eigenvector), the result is the same as multiplying that vector by λ. It satisfies the matrix equation Ax = λx where A is a square matrix, x is a vector different from zero (the eigenvector), and λ is the eigenvalue. In another mathematical expression, if the determinant (A - λI) = 0 where I is the identity matrix of the same size and shape as A, then λ are the eigenvalues of the matrix A.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of eigenvalue of a matrix in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of eigenvalue of a matrix in Pythagorean Numerology is: 1
Translation
Find a translation for the eigenvalue of a 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
"eigenvalue of a matrix." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/eigenvalue+of+a+matrix>.
Discuss these eigenvalue of a 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