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Word Analysis

eigenvalue

Learn how to correctly hyphenate "eigenvalue" with detailed syllable breakdown and pronunciation guide.

3 syllables
10 characters
English (US)
3syllables

eigenvalue

Hyphenation via the Knuth-Liang algorithm — result not verified against authoritative sources.

eigenvalue is a polysyllabic word with 3 syllables. Using the Knuth-Liang algorithm, we calculated the hyphenation for the word you’ve entered. However, this hyphenation has not been verified against authoritative sources and may be approximate. This is because the algorithm relies on pre-defined patterns that may not cover all exceptions, contextual variations, or irregular spellings. We are working to verify hyphenations against trusted sources to ensure greater accuracy. For now, eigenvalue is hyphenated as:

Definitions ofeigenvalue

1noun
  • A scalar, \lambda, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear operator \mathrm{A} is equal to the image of x under multiplication by \lambda; i.e. \mathrm{A} x = \lambda x.

    Example: "The eigenvalues \lambda of a square transformation matrix \mathrm{M} may be found by solving \det(\mathrm{M} - \lambda\mathrm{I}) = 0."

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