The Remarkable Relationship between the Levi-Civita Symbol and the Kronecker Delta | Deep Dive Maths

Delve into the fascinating relationship between the Levi-Civita symbol and the Kronecker delta. Join Prof. Jeff Chasnov as he defines both symbols, reveals their intriguing connection, and illustrates their use in proving vector identities. Embark with Jeff on this mathematical journey as his proof seamlessly blends permutation matrices, orthonormal vectors, and the properties of determinants.
00:10 Introduction
01:04 The Levi-Civita symbol
04:40 The Kronecker delta
05:41 Proof of the remarkable relationship
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[@leebercohen3432]

This is a beautifully done video. The steps and explanations are clear. Thank you for all your effort to bring this beautiful relationship to a larger audience.

[@jackoborne863]

Hello from Spain thanks for those videos

[@res0nanc320]

This is really excellent Jeff. Crystal clear!

[@michaeltamajong2988]

this is the best explanation I have gotten so far. rigorrous and simple.

[@md.zafaralam]

Thanku so much sir for your crystal clear explanation

[@nyx2200]

Fantastic video ! Thanks a lot, you explain wonderfully !

[@MikeT10101]

Thank you. It is great to see you back! I have found your videos to be extremely helpful.

[@zaratustra987]

The best maths professor ever !

[@ridwanarefeen7179]

I came to this video from "Kronecker delta and Levi-Civita symbol | Lecture 7 | Vector Calculus for Engineers ". I am glad that I did. It makes so much sense now, and easier to grasp. Thank you so much. I wish the note attached to the Vector Calculas for Engineers were updated too. or any recommendation for books.

[@rjaph842]

Me too This a testament that, h.beings, have an innate traction for knowledge

[@LampsAreCool]

hard math is just finding complicated ways of representing 1 and 0

[@aaronnorman9755]

In compatible formats, for example when you have something multiplied by an identity matrix you know your result should be a matrix and not just some resulting scalar

[@user-kd8nd1yp3u]

This video really solve my confusion about how to write the product of two Levi Civita symbols as a determinant.

[@ariasortizmoises4683]

Thanks from Mexico. Very well done.

[@user-ds3ri3mm9w]

شكرا لحضرتك علي هذه المحاضرات الرائعه دكتور شاسنوف نتابعك من مصر🇪🇬

[@curtischee2532]

Beautiful proof

[@amirhosseinkermani3695]

that was amazing, I scoured the internet for a proof for this relation!

[@sdsa007]

Thank you! I am closer to my goal of understanding how the speed of light gets derived from maxwell equations, just need to know how those geniuses came up with vector identities! very good… another guy from cambridge was doing a similar proof, but mentions row AND column vectors… but i found this more straight forward.

[@juniorcyans2988]

I watched several times. Thank you very much!

[@garvinmugala7003]

So brilliantly explained video 🙏

[@geertdejonge4194]

Thx for explaining

[@user-oo4zy2od4t]

Thanks from South Korea.

[@its-movie-time]

Excellent 🔥🔥🔥🔥

[@himanshugaur9764]

wonderful

[@FormalSymmetry]

Well done, thank you

[@alvarosena41]

Thank you! 🇧🇷