Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Jordan canonical form | Statement: [Camille Jordan, knownFor, Jordan canonical form]

Target entity: Jordan canonical form
Context triple: [Camille Jordan, knownFor, Jordan canonical form]

• A. Jordan normal form theorem chosen
  The Jordan normal form theorem is a fundamental result in linear algebra that states every square matrix over an algebraically closed field is similar to a block diagonal matrix composed of Jordan blocks, providing a canonical form for linear operators.
• B. Cayley–Hamilton theorem
  The Cayley–Hamilton theorem is a fundamental result in linear algebra stating that every square matrix satisfies its own characteristic polynomial.
• C. Jordan–Chevalley decomposition
  The Jordan–Chevalley decomposition is a fundamental result in linear algebra and representation theory that expresses a linear operator (or matrix) as the sum or product of commuting semisimple and nilpotent parts.
• D. Smith normal form
  Smith normal form is a canonical diagonal matrix form over the integers that classifies finitely generated abelian groups and simplifies solving systems of linear Diophantine equations.
• E. Sylvester’s law of inertia
  Sylvester’s law of inertia is a theorem in linear algebra stating that the numbers of positive, negative, and zero eigenvalues (the inertia) of a real symmetric matrix are invariant under change of basis.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.