idempotent Sentence Examples

1. The sum of two idempotent matrices is always idempotent.
2. The additive inverse of an idempotent matrix is also idempotent.
3. The product of two idempotent matrices is idempotent if and only if they commute.
4. The transpose of an idempotent matrix is idempotent.
5. The trace of an idempotent matrix is equal to its rank.
6. The set of all idempotent matrices of a given size forms a semigroup under multiplication.
7. The identity matrix is the only idempotent matrix that is invertible.
8. Idempotent matrices can be used to represent projections onto subspaces.
9. The Moore-Penrose pseudoinverse of a matrix is idempotent if and only if the matrix is of full rank.
10. Idempotent functions are useful in computer science, particularly in the context of boolean algebra.

idempotent Meaning

Wordnet

idempotent (s)

unchanged in value following multiplication by itself

Synonyms & Antonyms of idempotent

No Synonyms and anytonyms found

FAQs About the word idempotent

What is the meaning of the word idempotent

unchanged in value following multiplication by itself

What are the synonyms of the word idempotent

No synonyms found.

What are the antonyms of the word idempotent

No antonyms found.

What is the usage of word idempotent

The sum of two idempotent matrices is always idempotent.

The additive inverse of an idempotent matrix is also idempotent.

How to use the word idempotent in a sentence?

The product of two idempotent matrices is idempotent if and only if they commute.

The transpose of an idempotent matrix is idempotent.