Compressing an image using SVD

Screenshot (14).png
The stacked matrix is the output of get_rgb.m.
How do I impliment the given algorithms:
Screenshot (16).png
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.

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