If rank($X$)=1 and $X$ is positive semidefinite, then there exists $z\in\mathbb{R}_{n\times 1}$, such that $X=zz^T$.
My question is whether $z$ is unique?
2026-03-31 14:21:46.1774966906
the uniqueness of the decomposition of a rank 1 PSD matrix into the product to two vectors
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