Triple

Target entity: Cauchy interlacing property
Context triple: [Cauchy interlacing theorem, alsoKnownAs, Cauchy interlacing property]

• A. Cauchy interlacing theorem chosen
  The Cauchy interlacing theorem is a fundamental result in linear algebra that relates the eigenvalues of a symmetric matrix to those of its principal submatrices, showing how they "interlace" on the real line.
• B. Courant–Fischer min–max theorem
  The Courant–Fischer min–max theorem is a fundamental result in linear algebra and spectral theory that characterizes the eigenvalues of a Hermitian (or symmetric) matrix via variational min–max principles over subspaces.
• C. Cauchy determinant
  The Cauchy determinant is a classical determinant formula in linear algebra that gives a closed-form expression for matrices with entries of the form 1/(x_i + y_j), named after the French mathematician Augustin-Louis Cauchy.
• D. Weyl inequalities
  Weyl inequalities are fundamental results in linear algebra that bound the eigenvalues of sums of Hermitian (or symmetric) matrices in terms of the eigenvalues of the individual matrices.
• E. Cauchy matrix
  A Cauchy matrix is a structured matrix whose entries are defined by the reciprocals of pairwise differences of two sequences, widely used in numerical analysis, interpolation, and algebra.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.