Compressing an image using SVD

The stacked matrix is the output of get_rgb.m.

How do I impliment the given algorithms:

The function plot_image_rgb.m will take stacked RGB matrix and optionally a handle to an axes graphics object (default will use gca) and plot the corresponding image. The input to plot_image_rgb.m is the output of get_rgb.m. The command "svd" does the SVD in algorith 1.

How do I compute v(k) for both the algorithms?

PS- I am unfamiliar with Latex hence I had to post images.