Friday, September 16, 2011

09/15/2011


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)