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. 29 Apr. 2024. <https://www.definitions.net/definition/nilpotent+matrix>.
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