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angela210793

  • 3 years ago

How to prove that det|A|=det|AT| AT=transposed matrix

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  1. waterineyes
    • 3 years ago
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    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. amistre64
    • 3 years ago
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    proof by example?

  3. waterineyes
    • 3 years ago
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    Taking general example like taking variable like a b c etc..

  4. angela210793
    • 3 years ago
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    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|

  5. amistre64
    • 3 years ago
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    right, prove it with an nxn ....

  6. amistre64
    • 3 years ago
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    det goes negative when you swap rows or cols i think

  7. angela210793
    • 3 years ago
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    i dont even remember wht happens...and i read it 3 hrs ago -_-

  8. amistre64
    • 3 years ago
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    id hate to try to do an induction proof with it tho

  9. amistre64
    • 3 years ago
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    wouldnt the transpose be the same as running the determinant down the rows instead of across the columns?

  10. amistre64
    • 3 years ago
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    |dw:1341514233970:dw|

  11. amistre64
    • 3 years ago
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    |dw:1341514301567:dw|

  12. amistre64
    • 3 years ago
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    dunno how much of a proof that is tho :)

  13. angela210793
    • 3 years ago
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    haha..its ok...:D thanks anyway :)

  14. amistre64
    • 3 years ago
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    ... good luck ;)

  15. angela210793
    • 3 years ago
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    Thanks...i really need it :(

  16. malevolence19
    • 3 years ago
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    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

  17. angela210793
    • 3 years ago
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    @malevolence19 THANK YOU!!!!!!!!! :D

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