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.