We know that $AA^T = O^T\Lambda O$ for some orthogonal matrix $O$ and diagonal matrix $\Lambda$. Why is it true that $A = O^T \Lambda^{1/2} U$ for some orthogonal matrix $U$?
2026-03-30 02:07:07.1774836427
Characterization of A based on a decomposition of AA^t in terms of orthogonal matrices and a diagonal matrix.
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