I know unitary matrix of polar decomposition ($A=UP$; $U$ is unitary and $P$ is positive semi-definite) cannot be unique (but $P$ is!) if $A$ is not invertible. Can you give some examples that $A=UP=U_2P$ where $U_2$ is another unitary matrix different to $U$? Is there any formal relationship between $U$ and $U_2$?
2026-03-25 20:42:05.1774471325
Unitary matrix of polar decomposition
57 Views Asked by Semin Kwak https://math.techqa.club/user/semin-kwak/detail AtRelated Questions in LINEAR-ALGEBRA
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