det A^T = det A

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In this video, I show why det(A^T) = det(A). This shows in particular why you can expand the determinant along any column as well, a fact that is not obvious at all! Enjoy

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It just directly follows from the fact that the determinant is just an alternating summation over permutations. It doesnt matter if you are permuting based on rows or columns. x_1*y_3*z_2 is the same as x_1*z_2*y_3. Its trivial.

mikhailmikhailov

Love the enthusiasm 10/10 would reccomend

dwfischer

Dr. Peyam : " ASSUME A is invertible"
PHYSICS NOISES INTENSIFIES

yashovardhandubey

This is fine camera work.... Good Angle and resolutions....!! 👌👌

yashovardhandubey

Note that the determinant you talked about at 4:38 is not 1 but -1.

zivssps

lol, nice, do you have playlist of matrices and determinantes; Those are really cool, just like proves of those rules to calulate them; just what I need for my University now, it's easier to rewatch all those proves to put them in mind, then... :) Thanks :)

BabaFroga

The proofs of matrices and determinants are really interesting

yashovardhandubey

Suggestion: Show that exp(trace(A)) = det(exp(A)).

danielauto

Why prof who spoke English are the best is the key is in English

easymath

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