beautiful matrix equality the determinant of a matrix exponential is equal to the exponential of the tracepic.twitter.com/RIzBqHzpJ9
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This is one of those definitions that "just works" sorta like complex exponents but less meaningful. It's what computer scientists call "syntactic sugar". We have e^(x+y)=(e^x)*(e^y) then you plug it wherever you want to link addition & multiplication. Not beautiful per se.
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A semiotic p.o.v. The below notation means many things without saying exactly what goes in the square & with what conditions. It looks good (subjective) because use one symbol "e" & superscript as "syntactic sugar". In Mathematica Exp[] is not MatrixExp[]. ¢2
pic.twitter.com/oizLiCiBdA
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It’s perfectly well defined through the same Taylor series
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