As I know, exponential function is strictly monotonic increasing function. So it means that for $x,y \in \mathbb{R}$, if $e^x=e^y$ then $x=y$. But how about exponential matrix? If I have two matrices $X,Y$ satisfy $e^X=e^Y$, does that mean $X=Y$?
2026-03-26 16:57:33.1774544253
Is exponential map, $X \mapsto e^X$ for matrices injective?
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