elementary matrix
Word Rarity
Rare
Frequency: Zipf frequency 3.88 in modern English
30
Scrabble Score
16
Letters
6
Syllables
10
Unique Chars
Meaning
noun
A square matrix which is obtained from the identity matrix by a single elementary row (or column) operation.
Example Sentences
- "When an elementary matrix multiplies a square matrix from the left, it applies to that matrix an elementary row operation homologous to the one that created its own self. (Likewise, when an elementary matrix multiplies a square matrix from the right, it applies to that matrix an elementary column operation homologous to the one that created its own self.)"
- "If a series of elementary matrices applied to a given square matrix row-reduce it to the identity matrix, then the same series of elementary matrices applied to the identity matrix yield the inverse of the given matrix."
Inflected Forms
elementary matrices (plural)