- E27
[1MT]Difficulty:*.Show that
\[ \det (\exp (A))=\exp ({\operatorname {tr}}(A))\quad . \]Hint: use Jacobi’s formula [1V2] to calculate the derivative of \(\det (\exp (tA))\). Use the previous result [1MK] — see also [1T3]. Another proof can be obtained by switching to Jordan’s form (using [1MJ]).
Solution 1
EDB — 1MT
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Authors:
"Mennucci , Andrea C. G."
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