An introduction to vectors and dual vectors

Provides an introduction (with examples) of vectors and dual vectors, and discusses how their components transform under changes of coordinates. For more information on econometrics and Bayesian statistics, see: ben-lambert.com/

[@robertmegee9052]

finally a straight forward explanation of a covector that I could follow. Thank you!

[@thevegg3275]

I am only half way through this but must say I have never seen a more clear presentation of this material. Thank you!

[@mearpanchatterjee]

I was really having a hard time understanding oneforms.. but your videos just solved the problem.

[@eyupgurel916]

Marvellous manifestation of key concepts. Well done!

[@patryk_49]

Great video.
In 7:07 there should be a minus sign.

[@robinmatthews3552]

excellent series as is the factor analysis series, thank you.

[@alijoueizadeh2896]

Thank you for your time and effort.

[@alexplastow9496]

Thanks, you helped me decipher something in the GROMACS manual

[@jonathanzhou3391]

Well, I don’t really think that two x mu in the chain rule could be directly cancelled

[@jonathanzhou3391]

But very clear explanation! Thx

[@AbuSayed-er9vs]

Wonderful videos!!! You Know what there are very few TH-cam video to teach how to exactly visualize p-form or p-vector as they are very confusing with our traditional vector analysis.

[@stearin1978]

June vectors or September ones? That is the question.

[@sayanchatterjee2819]

wht did not you use t prime co-ordinate to find the velocity in primed frame?

[@Ballus12]

T prime = t

[@Andrewlim90]

Welcome back Ben!

[@damienthorne861]

Good stuff! I love it !

[@SigmaThoughts]

"Jooule vectors" i love the way that you say that

[@lionelronaldo1574]

Hi Pedro

[@lezliebeans5639]

Hi BINOD

[@flavianeivalamim1977]

Nossa, excelente explicação! Muito obrigada! :)

[@avessaire]

Wonderfull video

[@tylerdurden5037]

Excellent

[@jameshopkins3541]

DONT DO UNUSEFUL VIDS PLEASE!!!!!!

[@rosskious7084]

Just because they are USELESS to you does not mean they are useless to other people. He did a fine job of explaining this to people that did not already know what it means. So either you already know the subject, which means the video is not for you, or you did not catch the subject (not everyone will…. And some takes time)