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dbnary-eng:__ws_9_matrix__Noun__1
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9
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_:vb6815475
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_:vb6815478 _:vb6815476 _:vb6815477
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(mathematics) A rectangular arrangement of numbers or terms having various uses such as transforming coordinates in geometry, solving systems of linear equations in linear algebra and representing graphs in graph theory.
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Theorem (7.5.2) then says that every positive semidefinite matrix is a convex combination of matrices that lie on extreme rays.
dcterms:bibliographicCitation
1987, [1985], Roger A. Horn, Charles R. Johnson, Matrix Analysis, Paperback edition, Cambridge University Press, published 1990, page 464:
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Check that the \mathcal{A}(\mathcal{D})^2 in the example is itself the adjacency matrix of the indicated digraph:
dcterms:bibliographicCitation
2003, Robert A. Liebler, Basic Matrix Algebra with Algorithms and Applications‎https://books.google.com.au/books?id=dD1OKMD-rMoC&pg=PA64&dq=%22matrix%22%7C%22matrices%22&hl=en&sa=X&ved=0ahUKEwi06faVqvDaAhWEDZAKHS5eDKsQ6AEIhwIwJQ#v=onepage&q=%22matrix%22%7C%22matrices%22&f=false, CRC Press (Chapman & Hall/CRC), page 64:
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The matrix describing the reflection at a plane mirror can be obtained by taking the matrix for reflection at a spherical reflector and letting the radius of the spherical mirror tend to infinity.
dcterms:bibliographicCitation
2007, Gerhard Kloos, Matrix Methods for Optical Layout, SPIE Press, page 25,