Word Pronunciation & Dictionary

rank-nullity theorem

Word Rarity Very rare

Frequency: Zipf frequency 2.02 in modern English

Syllables: rank-nul-li-ty the-o-rem
IPA

30

Scrabble Score

18

Letters

6

Syllables

13

Unique Chars

Meaning

name

A theorem about linear transformations (or the matrices that represent them) stating that the rank plus the nullity equals the dimension of the entire vector space (which is the linear transformation’s domain).

Example Sentences

"If — for a homogeneous system of linear equations — there are V unknowns and R (linearly independent) equations then, according to the rank-nullity theorem, the solution space is N equals V − R dimensional."

Inflected Forms

the rank-nullity theorem (canonical)

Questions

What does rank-nullity theorem mean?: A theorem about linear transformations (or the matrices that represent them) stating that the rank plus the nullity equals the dimension of the entire vector space (which is the linear transformation’s domain).

How to pronounce rank-nullity theorem

Open the pronunciation page — Open the Speakur entry for “rank-nullity theorem”.
Read the phonetic spelling — Read the IPA spelling () so you know which sounds to aim for.
Play the audio — Click Play to hear reference audio for “rank-nullity theorem”.
Repeat and practice — Say “rank-nullity theorem” aloud, matching stress and vowels until it feels natural.