What is Jacobian? | The right way of thinking derivatives and integrals
Jacobian matrix and determinant are very important in multivariable calculus, but to understand them, we first need to rethink what derivatives and integrals mean. We can’t think of derivatives as slopes if you want to generalise - there are four dimensions to graph the function! This video hopes to explain what the Jacobian matrix and determinant really mean, and essentially why they are actually very natural for changing variables; and also explaining something that might be glossed over when you use them - for example, we require absolute value, and the changing variables function is injective.
In the video, we have only talked about 2D transformations, but the Jacobian can be easily generalised to any number of dimensions you like - you just need to introduce linear maps in higher dimensions! Think about what that means in 3 dimensions for a start!
This video simply aims to introduce the intuition of the Jacobian, and so a lot of things said in the video is not going to be ve
1 view
1190
453
2 weeks ago 00:04:49 1
Phonique: Feel What You Want (feat. Rebecca) official music video feat. Julia Lapina
2 weeks ago 01:32:50 1
A Stone in the Water | Thrilling Mystery Movie Full HD | Melissa Fumero | Real Drama
2 weeks ago 00:29:11 1
Interview with Valentin Kozlov, Valmix Company | Potato Tour Across Russia (Part 2) 🥔🚜
2 weeks ago 00:01:01 1
Project Blue Beam | What Is Project Blue | The Blue Beam Project | Project Blue Beam Drones | UFO
2 weeks ago 00:03:26 2
Benny Benassi presents The Biz - No Matter What You Do [Official Video]
2 weeks ago 00:03:21 2
Alex Gaudino ft. Kelly Rowland - What A Feeling
2 weeks ago 01:02:51 1
Uncovering the Remains of Sasquatch - Sasquatch Unearthed: Buckeye Bigfoot (Evidence and Encounters)
2 weeks ago 01:01:39 1
TIME SLIP STORIES (SN 18 EP 38) TRUE UNEXPLAINABLE EXPERIENCES WITH MISSING TIME & TIME SLIPS
2 weeks ago 00:00:31 2
How To Train Your Dragon | Big Game Spot
2 weeks ago 00:05:05 59
How to Clown - Misha Usov - Professional Clown School
2 weeks ago 00:03:02 2
What is love (Rastafair Remix) Tomorrowland Videoclip
3 weeks ago 00:05:14 2
Clara Fernández: The Spanish Sensation Transforming Pole Vaulting
3 weeks ago 00:27:54 5
Секретные космические лазеры устраивают пожары на Земле?
3 weeks ago 00:03:57 46
Britney Spears - ...Baby One More Time (Official Video)
3 weeks ago 00:09:58 2
LUGHEAD | Omeleto
3 weeks ago 00:04:50 20
In The Army Now (Status Quo) • Drum Cover
3 weeks ago 00:56:53 3
DOGMAN, MIRRORED MEN AND HIGHWAY GHOSTS: TALES FROM THE ROAD (SN 18 EP 36) TRUE SPOOKY STORIES
3 weeks ago 00:08:36 1
ODESSA on FIRE┃Hotel ’BRISTOL’ with Officers From European Intelligence Agencies Was Blown To PIECES
3 weeks ago 00:08:55 1
SHOCKING Dogfight Over UKRAINE: F-16, Mig-29, and Su-27 Did Not Survive Their Meet-Up With Su-57M
3 weeks ago 00:04:47 1
Icon For Hire-Now You Know (Official Music Video)
4 weeks ago 00:10:58 18
MAJOR Escalation: Poland Took a Gamble By Challenging Russia! The Boundaries of Europe are Changing!
4 weeks ago 00:50:14 10
CHECKMATE: Russia-Iran Treaty SHOCKS The West | Dr. Pietro Shakarian