2x2 Matrix Inverse Proof | (Nine) Minute Math with M³

If a high school math class has an introductory linear algebra chapter, we typically ask kids to memorize the inverse of a 2x2 matrix. Here is a quick, high-school friendly proof!
Music:
George Street Shuffle by Kevin MacLeod is licensed under a Creative Commons Attribution license (creativecommon...)
Source: incompetech.com...
Artist: incompetech.com/

[@chookiemoombra]

I have notification on for ur videos but I didn’t get a notif for this one i’m so sad i’m late 🥺 thank u for this though my math teacher assigned a ton of stuff for me to do over summer and this was in one of the things he assigned and I was so lost!! I can safely say after watching this video I feel less lost though. Thank u epic math man !

[@Futureiswithmyself-pe7ke]

Good teaching. I really appreciate your efforts.

[@outdoorjoe1021]

Do we need to do a distinction of cases e.g. if a=0 we divide by zero.

[@nicolemalabanan9817]

Thank you!!! You saved my problem set 🥺💛

[@mickeeyyy]

Looking very dapper, teach! 👌

[@balyoz3349]

Thank you sir

[@filiphengeveld3658]

w teaching here

[@christianl.9628]

What is if one of the variables is 0 you cant devide then

[@outdoorjoe1021]

I have the same question.

[@Contra.Mundum.]

If one of the variables is 0 and the rest are not 0, you will still have a valid determinant. However, if the determinant itself yields 0 as an answer, then the matrix is said to be 'singular' and has no inverse.

[@Virginiawavinya589]

super helpful. thanks man!

[@osaskeys7316]

I don't understand why you multiplied with a/a

[@CEO_BIGKEVO]

Mr.McGreal 1.2k Subscribers 😃 Best Math Teacher On Earth

[@MathManMcGreal]

Hey Kevon! I just thought about you and the rest of our Period 4/5 & 9 the other day. Hope you're doing well, man!

[@CEO_BIGKEVO]

I’m doing good starting college in August

[@MathManMcGreal]

Awesome!!! You'll do great! Put in the work, keep your eyes on the prize, and take it one day at a time.

[@leo-yt8jg]

I love u smooch

[@Xnichfrytk]

Now do it for the 3x3 and 4x4 XDDD. Jk , great video btw

[@MathManMcGreal]

Ha! That's evil!
Although thinking about it, making a general A^-1 = (1/detA) * Adj(A) for any nxn video is a possibility...

[@Xnichfrytk]

@@MathManMcGreal definitely going to look into that! I've been studying linear algebra by myself on my spare time and that seems like a fun exercise

[@mathssociety9712]

As to find inverse of 3x3 matrices th-cam.com/video/ggofl6pOo_0/w-d-xo.html

[@benjamin4206]

subscribed!

[@karinaalvarado3617]

where are de memes😤

[@MathManMcGreal]

Oh! Right! They're somewhere...