Inverse of a 2x2 Matrix

This precalculus video tutorial explains how to determine the inverse of a 2x2 matrix. It provides a simple formula to determine the multiplicative inverse of a matrix. You can check to see if you have the right answer by multiplying the matrix and its inverse to see if you get the multiplicative identity matrix I2. This video contains plenty of examples and practice problems.

Introduction to Matrices:

Adding and Subtracting Matrices:

Scalar Multiplication of Matrices:

Solving Matrix Equations:

Multiplying Matrices:

__________________________________
Gaussian Elimination & Row Echelon Form:

Gauss Jordan Elimination:

Gaussian Elimination With 4 Variables:

Inverse of a 2x2 Matrix:

Inverse of a 3x3 Matrix:

__________________________________
Determinant of 2x2 and 3x3 Matrix:

Determinant of 4x4 Matrix:

Cramer's Rule - 2x2 Linear System:

Cramer's Rule - 3x3 Linear System:

___________________________________
Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[jimmydenzel]

i got an A+ in physics at my first year because of this really appreciate your great knowledge idistribution

[mzekielmartincuria]

Whoever is the face behind this channel, know that you are and will forever be a legend. Thanks 'coz you helped me a lot during JHS up to my college years right now. :)

[ryanmisenheimer]

You are currently getting me through Calc 2 and Linear Algebra. Thank you.

[dr.wisdom]

This is what I call Free Education for all

[gerrypalme]

THIS GUY IS FROM ANOTHER WORLD SENT TO HELP THOSE IN NEED, GOD BLESS YOU AND YOUR FAMILY, I AM LEARNING SOMETHING WHICH MY LECTURES DO NOT TEACH, THANKS A LOT

[jaszainulabideen]

your videos are so useful!
Kindly increase your volume a little bit.

[azizaren]

Honestly, I am so extremely grateful that this channel exists, thank you so much for taking time out if your day to help people who are struggling with understanding math. You make it so easy to grasp the concepts. Thank you so much!

[Fg-sovx]

Definetly one of the better tutors on the internet. Explains things very well and clearly.

[georgesadler]

Mr. Organic Chemistry Tutor, Thank you for a productive and helpful video/lecture on 2X2 matrices. I took Linear Algebra in the early 1990's and watching these videos are super helpful.

[kut]

i have linear algebra exam in about 2 weeks and your videos really help me get through this i didnt really know how to understand these topics but thanks to you i think that im gonna ace it

[tomika]

omg I have watched a TON of videos on this matrix inverse and this one is the best. Straight to the point and easy to understand. THANK

[aayehtaha]

Thank you so much man, I honestly learn more from you than all of my teachers. I seriously greatly appreciate you!!!

[Muleba_kabengele]

Thank you for always coming through we owe you a lot

[leximoreno]

I literally cant thank you enough for this video, I have been so confused because my class is strictly self taught and this has been more beneficial than my in person college algebra class.

[lisamwembia]

He is literally a life saver im so gonna ace my math exam now !! thankss

[itzahsan]

i had my final exam at university today, i study aerospace engineering. i got this kind of matrix question. it was a 2x2 marix and i done it easily, just came here to make sure ive secured the easy 10 marks

[NonkonzoSamukelisiwe]

You are helping a lot.... I have a test tomorrow!!

[andersonwilliams]

thank you so freaking much sir. may the Lord bless you

[keitogamingyt]

This channel is my favorite math YT channel

[quennelynbantilan]

Organic Chemistry thank you so much for your kind of tutorial it is very productive God bless you more power 😇✨