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May 6, 2014 at 15:57 comment added Brian Borchers $\Sigma$ is an $m$ by $n$ diagonal matrix, with possibly nonzero singular values in $\Sigma_{1,1}$ through $\sigma_{m,m}$, but the singular values for $m+1$, $\ldots$, $n$ are all considered to be 0 (there's no place to put these zeros in the $m$ by $n$ matrix $\Sigma$.)
May 6, 2014 at 14:57 vote accept joidegn
May 6, 2014 at 14:54 comment added joidegn So the singular values in $\Sigma$ are 0? That would make some sense. Now I know what happens. Can you explain to me or point me to somewhere where I can learn why that happens?
May 6, 2014 at 13:09 history answered Brian Borchers CC BY-SA 3.0