eigenvalue

Spelling & Dictionary Insight

The English entry for eigenvalue is 10 letters long, classified as anoun, and transcribed in the International Phonetic Alphabet as /ˈaɪ.ɡənˌvæl.juː/. Corpus data places it at rank #60,786 in overall English word frequency, marking it as uncommon enough that many writers pause before typing it.The dominant gloss from Wiktionary reads: "A scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication b...".

No misspelling variants are generated for eigenvalue in our index, suggesting the orthography follows predictable English patterns.It is not paired with a close-neighbour confusable in our dataset, which tends to mean the word is visually distinctive enough to stand on its own.

Etymologically, the entry records: From eigen- + value. Partial calque of German Eigenwert. Root origin matters for spelling because borrowed morphemes (Greek, Latin, Old French, Old English) carry their source-language orthographic conventions into modern English, which is why historical etymology is often the cleanest predictor of whether a cluster like "-ough", "-eau", or "-tion" will appear. For readers arriving here from a spelling check, the authoritative guidance is: the correct English form is eigenvalue, spelled E-I-G-E-N-V-A-L-U-E, and any other sequence of those letters, regardless of how natural it feels, is a misspelling in standard orthography.