Cauchy-Binet for Pseudo-Determinants

[1]  Ararat Harutyunyan,et al.  Disproving the normal graph conjecture , 2015, J. Comb. Theory B.

[2]  Thomas Muir,et al.  A Treatise on the Theory of Determinants , 2015 .

[3]  Oliver Knill,et al.  The zeta function for circular graphs , 2013, ArXiv.

[4]  Oliver Knill,et al.  Counting rooted forests in a network , 2013, ArXiv.

[5]  Oliver Knill,et al.  The Dirac operator of a graph , 2013, ArXiv.

[6]  T. Konstantopoulos A multilinear algebra proof of the Cauchy-Binet formula and a multilinear version of Parseval's identity , 2013, 1305.0644.

[7]  Oliver Knill,et al.  The McKean-Singer Formula in Graph Theory , 2013, ArXiv.

[8]  O. Knill Selfsimilarity in the Birkhoff sum of the cotangent function , 2012, 1206.5458.

[9]  T. Tao Topics in Random Matrix Theory , 2012 .

[10]  Jim Hefferon,et al.  Linear Algebra , 2012 .

[11]  O. Knill On the Dimension and Euler characteristic of random graphs , 2011, ArXiv.

[12]  F. Tangerman,et al.  Self-similarity and growth in Birkhoff sums for the golden rotation , 2010, 1006.0285.

[13]  Alan D. Sokal,et al.  Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities I. Generalizations of the Capelli and Turnbull identities , 2008, Electron. J. Comb..

[14]  T. Crilly James Joseph Sylvester: jewish mathematician in a victorian world , 2007 .

[15]  Bernard P. Brooks,et al.  The coefficients of the characteristic polynomial in terms of the eigenvalues and the elements of an n×n matrix , 2006, Appl. Math. Lett..

[16]  P. Lancaster,et al.  Invariant Subspaces of Matrices with Applications (Classics in Applied Mathematics, 51) , 2006 .

[17]  Pavel Yu. Chebotarev,et al.  Matrix-Forest Theorems , 2006, ArXiv.

[18]  R. Bapat Outer inverses: Jacobi type identities and nullities of submatrices , 2003 .

[19]  M. Aigner,et al.  Proofs from "The Book" , 2001 .

[20]  Ronaldo Rodrigues Silva On the Coefficients of the Characteristic Polynomial , 1998 .

[21]  John W. Auer,et al.  Linear algebra with applications , 1996 .

[22]  Mordechai Lewin,et al.  On the coefficients of the characteristic polynomial of a matrix , 1994, Discret. Math..

[23]  Adi Ben-Israel,et al.  Minors of the Moore-Penrose inverse , 1993 .

[24]  F. R. Gantmakher The Theory of Matrices , 1984 .

[25]  Richard A. Brualdi,et al.  Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley , 1983 .

[26]  W. Greub Linear Algebra , 1981 .

[27]  P. Deift Applications of a commutation formula , 1978 .

[28]  Barry Simon,et al.  Notes on infinite determinants of Hilbert space operators , 1977 .

[29]  Nicolas Bourbaki,et al.  Éléments d'histoire des mathématiques , 1971 .

[30]  K. A. Bush An Interesting Result on Almost Square Matrices and the Cauchy-Binet Theorem , 1962 .

[31]  G. A. Miller On the History of Determinants , 1930 .

[32]  Schrutka Die Determinanten , 1912 .

[33]  Michel L. Lapidus,et al.  Fractal Geometry, Complex Dimensions and Zeta Functions , 2006 .

[34]  Martin Aigner,et al.  Proofs from THE BOOK , 1998 .

[35]  K. Parshall James Joseph Sylvester: Jewish Mathematician in a Victorian World , 1998 .

[36]  P. Lancaster,et al.  Invariant subspaces of matrices with applications , 1986 .

[37]  R. Abraham,et al.  Manifolds, Tensor Analysis, and Applications , 1983 .

[38]  I. Gohberg,et al.  Basic Operator Theory , 1981 .

[39]  B. Simon Trace ideals and their applications , 1979 .

[40]  J. Dieudonné Grundzüge der modernen Analysis , 1976 .

[41]  L. Goddard Mathematical thought from ancient to modern times By M. Kline. Pp. xvii + 1238. Oxford University Press, London. 1973. E12a00 , 1974 .

[42]  N. Biggs Algebraic Graph Theory: COLOURING PROBLEMS , 1974 .

[43]  Graciano Neves de Oliveira,et al.  Generalized matrix functions , 1973 .

[44]  Mark S. C. Reed,et al.  Method of Modern Mathematical Physics , 1972 .

[45]  Jean Dieudonne,et al.  Linear algebra and geometry , 1969 .

[46]  Peter Lancaster,et al.  The theory of matrices , 1969 .

[47]  J. L. Coolidge,et al.  A history of geometrical methods , 1947 .

[48]  A. A. Contributions to the History of Determinants, 1900–1920 , 1930, Nature.

[49]  Arthur Cayley,et al.  The Collected Mathematical Papers: Note on the Theory of Determinants , 1904 .

[50]  T. B.,et al.  The Theory of Determinants , 1904, Nature.

[51]  C. Chree,et al.  Transactions of the Cambridge Philosophical Society , 1889 .