nilpotent Antonyms
No Synonyms and anytonyms found
Meaning of nilpotent
Wordnet
nilpotent (a)
equal to zero when raised to a certain power
nilpotent Sentence Examples
- The nilpotent matrix A raised to any power eventually becomes the zero matrix.
- The sum of two nilpotent matrices is also nilpotent.
- The product of two nilpotent matrices is nilpotent.
- The inverse of a nilpotent matrix is nilpotent if it exists.
- The determinant of a nilpotent matrix is always zero.
- The trace of a nilpotent matrix is also nilpotent.
- The eigenvalues of a nilpotent matrix are all zero.
- A nilpotent matrix cannot be invertible.
- The Jordan form of a nilpotent matrix consists solely of Jordan blocks with eigenvalue zero.
- Nilpotent matrices arise frequently in algebraic structures such as Lie algebras and group rings.
FAQs About the word nilpotent
equal to zero when raised to a certain power
No synonyms found.
No antonyms found.
The nilpotent matrix A raised to any power eventually becomes the zero matrix.
The sum of two nilpotent matrices is also nilpotent.
The product of two nilpotent matrices is nilpotent.
The inverse of a nilpotent matrix is nilpotent if it exists.
