We note that the signs in SVD are arbitrary because: With this in mind we see that the first column of UD is almost identical to the average score for each student except for the sign. This implies...

We note that the signs in SVD are arbitrary because:

With this in mind we see that the first column of UD is almost identical to the average score for each student except for the sign.

This implies that multiplying Y by the first column of V must be performing a similar operation to taking the average. Make an image plot of V and describe the first column relative to others and how this relates to taking an average.