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angela210793
 3 years ago
How to prove that detA=detAT
AT=transposed matrix
angela210793
 3 years ago
How to prove that detA=detAT AT=transposed matrix

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waterineyes
 3 years ago
Best ResponseYou've already chosen the best response.0Take any general 3X3 matrix and find its determinant... Again take the transpose of the same matrix and find its determinant.. Both will come same...

waterineyes
 3 years ago
Best ResponseYou've already chosen the best response.0Taking general example like taking variable like a b c etc..

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1or maybe prove tht detA doesn't change wqhen u change the places of two rows or columns @amistre64 not example...i need it in general with dw:1341513981391:dw

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.2right, prove it with an nxn ....

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.2det goes negative when you swap rows or cols i think

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1i dont even remember wht happens...and i read it 3 hrs ago _

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.2id hate to try to do an induction proof with it tho

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.2wouldnt the transpose be the same as running the determinant down the rows instead of across the columns?

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1341514233970:dw

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1341514301567:dw

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.2dunno how much of a proof that is tho :)

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1haha..its ok...:D thanks anyway :)

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1Thanks...i really need it :(

malevolence19
 3 years ago
Best ResponseYou've already chosen the best response.0Its a pretty hard proof, I had to do it in my intro proofs class. Here's this: https://www.projectrhea.org/rhea/index.php/Determinant_Transpose_Proof Will help some I think :P

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1@malevolence19 THANK YOU!!!!!!!!! :D
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