A very short proof of Cauchy's interlace theorem for eigenvalues of Hermitian matrices

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dc.creatorFisk, Steve
dc.date2005-02-18
dc.date.accessioned2026-07-07T05:17:10Z
dc.date.available2026-07-07T05:17:10Z
dc.descriptionCauchy's interlace theorem states that the characteristic polynomial of a symmetric matrix is interlaced by the characteristic polynomial of any principle submatrix. We prove this in two sentences using only the linearity of the determinant, and the fact that all eigenvalues of a symmetric matrix are real.
dc.description1 page
dc.identifierhttps://arxiv.org/abs/math/0502408
dc.identifierhttp://arxiv.org/abs/math/0502408
dc.identifierAmer. Math. Monthly, Vol 112, No. 2, Feb. 2005, page 118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74252
dc.subjectClassical Analysis and ODEs
dc.titleA very short proof of Cauchy's interlace theorem for eigenvalues of Hermitian matrices
dc.typetext

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