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In mathematics, especially in linear algebra and matrix theory, the duplication matrix and the elimination matrix are linear transformations used for transforming half-vectorizations of matrices into vectorizations or (respectively) vice versa.
For a symmetric matrix A, the vector vec(A) contains more information than is strictly necessary, since the matrix is completely determined by the symmetry together with the lower triangular portion, that is, the n(n + 1)/2 entries on and below the main diagonal.
Row echelon form — a matrix in this form is the result of applying the forward elimination procedure to a matrix (as used in Gaussian elimination). Wronskian — the determinant of a matrix of functions and their derivatives such that row n is the (n−1) th derivative of row one.
[[Category:Double-elimination bracket templates]] to the <includeonly> section at the bottom of that page. Otherwise, add <noinclude>[[Category:Double-elimination bracket templates]]</noinclude> to the end of the template code, making sure it starts on the same line as the code's last character.
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In his first public response to the consumer outcry following the fatal shooting of one of his top executives, UnitedHealth Group CEO Andrew Witty said Friday that the US health system “is not ...
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