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angela210793
Group Title
How to prove that detA=detAT
AT=transposed matrix
 2 years ago
 2 years ago
angela210793 Group Title
How to prove that detA=detAT AT=transposed matrix
 2 years ago
 2 years ago

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

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
proof by example?
 2 years ago

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

angela210793 Group TitleBest ResponseYou've already chosen the best response.1
or 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
 2 years ago

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

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

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

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

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

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

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

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

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

amistre64 Group TitleBest ResponseYou've already chosen the best response.2
... good luck ;)
 2 years ago

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

malevolence19 Group TitleBest ResponseYou've already chosen the best response.0
Its 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
 2 years ago

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