### What does **nilpotent matrix** mean?

# Definitions for nilpotent matrix

nilpo·tent ma·trix

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **nilpotent matrix**.

### Wikipedia

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

Chaldean Numerology

The numerical value of nilpotent matrix in Chaldean Numerology is:

**5**Pythagorean Numerology

The numerical value of nilpotent matrix in Pythagorean Numerology is:

**3**

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"nilpotent matrix." *Definitions.net.* STANDS4 LLC, 2024. Web. 10 Nov. 2024. <https://www.definitions.net/definition/nilpotent+matrix>.

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