Here's the question you clicked on:
angela210793
How to prove that det|A|=det|AT| AT=transposed matrix
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...
Taking general example like taking variable like a b c etc..
or maybe prove tht det|A| 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|
right, prove it with an nxn ....
det goes negative when you swap rows or cols i think
i dont even remember wht happens...and i read it 3 hrs ago -_-
id hate to try to do an induction proof with it tho
wouldnt the transpose be the same as running the determinant down the rows instead of across the columns?
|dw:1341514233970:dw|
|dw:1341514301567:dw|
dunno how much of a proof that is tho :)
haha..its ok...:D thanks anyway :)
Thanks...i really need it :(
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
@malevolence19 THANK YOU!!!!!!!!! :D