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Extra resources for Advances in Chromatography: Volume 42
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T denotes the transpose of a matrix, and superscript Ϫ1 denotes an inverse. A vector containing the ratio of each analyte concentration in the standard, CN, relative to that in the sample matrix, C M , is determined from the eigenvalues. diagonal(⌸) ϭ CN CM ϩ CN (3) The pure second column elution proﬁles, X, and the pure ﬁrst column elution proﬁles, Y, of all the components common to both matrices (M and N ) are determined with the eigenvectors and the decomposed components from SVD. X ϭ U ⌰T (4) Y ϭ V(T Ϫ1) T (5) The eigenvectors from this step can be thought of as a rotation of the ambiguous SVD vectors of the addition matrix (M ϩ N ) into physically meaningful information.
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