Why det(A) = det(A transpose)? Can you give me the proof?
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1Search for "determinant of transpose"... https://proofwiki.org/wiki/Determinant_of_Transpose – Mar 09 '15 at 02:07
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2There is also Determinant of transpose? with a geometric proof. – Mar 09 '15 at 02:08
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Hint: Develop $\det A$ along the first line, $\det {}^{\mathrm t\!}A$ along the first column and apply the inductive hypothesis.
Bernard
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