I am trying to solve following problem. Let $A$ be a $m$ by $n$ ($m\geq n$) full rank matrix. What is then condition number of its augmentation $M$: $$ M = \begin{bmatrix} I & A \\ A^{\top} & 0 \end{bmatrix} $$ There was a hint, that I should use the SVD of $A$, but I can't see how. The result should depend on singular values of $A$.


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