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The matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function.

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How to prove this determinant is positive?

The conjecture ist true : It follows from $$det(I + e^{M}) = det(I + i e^{M/2}) * det(I - i e^{M/2}) = {\left\lvert{det(I + i e^{M/2})}\right\lvert}^2 \ge 0$$ . I.e. it follows from the fact that ev …
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