Proof: Matrix determinant gives area of image of unit square under mapping | Matrices | Khan Academy

Proof that the determinant of a 2X2 matrix gives the area of the image of the unit square under the mapping defined by the matrix.

[nobodys]

"The goal of this video is to feel good" That's spot on! Every video by Sal leaves me with more understanding and therefore makes me feel good. =)

[bestalpha]

Who has been watching khan academy since the beginning and is happy to find him because dont lie our grades really improved

[Hobbit]

So this is really helpful to know when learning change of variables for dubble integrals

[kohkoh]

After watching this video...i am singing " I feel good "🎉🎉🎉🎉

[jaloliddinqayumjonov]

Thanks for that greatest explanation. And it will be better if you add subtitles to the

[raghavsrivastava]

Sal, I am in 12th. This video was awesome. I have also watched the series on linear algebra made by @3Blue1Brown. I have a request please can you prove the volume of the parallelepiped that the determinant gives in case of a 3 by 3 transformation matrix.

[Mr_Mundee]

can you make a video in this manner for the determinant of a 3x3 matrix

[caPioVitae]

Nice Videos - can you tell me wich software do you use for your Blackboard? Is the Pen Highlight part of your Recording Software are how do you do it? Is there a Video about the technical Backgrounds of Kahn Style Videos in 2021?

[joannacarmelsalamat]

Hi can someone tell me what Khan is using for writing/drawing? I kinda need it for my video presentation. Thank you and stay safe!<3

[sandeepvivek]

Sir what if it's a matrix of order nxn where n is atleast 3??If that's the case we would need more than 2 dimensions for representing them, right? Is it possible to infer that area of the image = determinant of matrix in these cases as well?

[animatedstats]

As always on top 🔥
Are there sports fans here?)

[awesomecraftstudio]

How can we prove this for any size matrix though?

[anoriginalnick]

In higher dimensions does this generalize to the hypervolume ?

[malekqaddarah]

What is the name of the app he is using?

[ibrianuniverse]

My teacher watches ur vids during math

[sirjoseo.nastik]

My book shows wordless proof and I don't understand anything...thank you

[ragdoll]

is there really still a person who does not know about the existence of RJVX12 algorithm?

[jaidakeefe]

im i the only who does not understand this at