Reference no: EM131584336

Question: Show that UMV^† = C.

Using the SVD of C we can write

Where vⁿ denotes the nth column of the matrix V. In image processing, matrices such as C are used to represent discrete two-dimensional images, with the entries of C corresponding to the grey level or color at each pixel. It is common to find that most of the N singular values of C are nearly zero, so that C can be written approximately as a sum of far fewer than N dyads; this is SVD image compression.