Matrix Derivatives: What's up with all those transposes ?

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Sometimes you meet a function with vector parameters on the street and you need to take its derivative. This video will help you figure out how!
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The only practical resource I was able to find on the internet that could explain why the derivative of a matrix matrix product AB wrt A is B^T. Thanks very much!

johnyou
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Thank you! Clearest explanation I found

jessicawruan
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excellent content and presentation, well done Mr. David, thanks.

osamahasan
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It seems easy to get mistake when computing these derivatives.

diodin
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Last matrix index multiplication should be Ctj not Cjt

Pepegrillomates