I am confused by the discussion of how to get the matrix factor V. If I highlight just the salient points of the paragraph, the discussion appears to say this:
The last matrix factor, V, ... is the "answer", the topic vector...but we also want to be able to compute it on a new bag of words or TFIDF vector...we can compute it anew whenever we need it. To create a row in this matrix we multiply the inverse of the V matrix by any new TFIDF vector...
That is, it appears to say that we do not need to retain the V matrix but can recreate it on demand by...multiplying the inverse of the V matrix by any new vector? If we are trying to calculate the V matrix I'm not sure how exactly we can take its inverse before we calculate it. Undoubtedly this is described in many other resources but this seemed to be a section where you wanted to make the discussion self contained.
