Singular Value Decomposition (SVD) tutorial BE.400 / 7.548 Singular value decomposition takes a rectangular matrix of gene expression data (defined as A, where A is a n x p matrix) in which the n rows represents the genes, and the p columns represents the experimental conditions. The SVD theorem states: Anxp= Unxn Snxp VTpxp Where UTU = Inxn VTV = Ipxp (i.e. U and V are orthogonal) Where the colu