# Definitions for nilpotent matrixnilpo·tent ma·trix

### WikipediaRate this definition:0.0 / 0 votes

1. Nilpotent matrix

In linear algebra, a nilpotent matrix is a square matrix N such that N k = 0 {\displaystyle N^{k}=0\,} for some positive integer k {\displaystyle k} . The smallest such k {\displaystyle k} is called the index of N {\displaystyle N} , sometimes the degree of N {\displaystyle N} . More generally, a nilpotent transformation is a linear transformation L {\displaystyle L} of a vector space such that L k = 0 {\displaystyle L^{k}=0} for some positive integer k {\displaystyle k} (and thus, L j = 0 {\displaystyle L^{j}=0} for all j ≥ k {\displaystyle j\geq k} ). Both of these concepts are special cases of a more general concept of nilpotence that applies to elements of rings.

### Numerology

1. Chaldean Numerology

The numerical value of nilpotent matrix in Chaldean Numerology is: 5

2. Pythagorean Numerology

The numerical value of nilpotent matrix in Pythagorean Numerology is: 3

### Translation

#### Find a translation for the nilpotent 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)
• 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)

## Citation

#### Use the citation below to add this definition to your bibliography:

Style:MLAChicagoAPA

"nilpotent matrix." Definitions.net. STANDS4 LLC, 2024. Web. 17 Sep. 2024. <https://www.definitions.net/definition/nilpotent+matrix>.

## Are we missing a good definition for nilpotent matrix? Don't keep it to yourself...

### Add to Chrome

Get instant definitions for any word that hits you anywhere on the web!

### Add to Firefox

Get instant definitions for any word that hits you anywhere on the web!

»
A rumpus
B abide
C affront
D elaborate