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I have a distance matrix D_ij. I would like to compute the positional coordinates that yield this given distance matrix. I browsed the stack exchange forums and came across this solution; however, I do not understand something and do not have sufficient reputation to comment on the post.

Assuming i and j represent rows and columns respectively, computing M_ij is straight-forward. I want to retrieve coordinates X, which in turn requires using S and U. What are S and U in this case?

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