Finding a matrix from its product with its transpose – math.stackexchange.com

Suppose $A$ is a $3 \times 3$ matrix. If $A A^T = B$ and $A^T A = C$, where $B$ and $C$ are known and $B \neq C$, can I uniquely determine A? $A$ has 9 independent elements. Since $B$ and $C$ are ...

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