❖ Inverse Matrix Using Gauss-Jordan / Row Reduction , Example 1 ❖

Inverse Matrix Using Gauss-Jordan / Row Reduction , Example 1.
Here I look at a quick example of finding the inverse of a 2 x 2 matrix using Gauss - Jordan / row reduction.
IF a matrix has an inverse (not all matrices have inverses!), we can find the inverse by placing our original matrix on the left side along with an identity matrix directly to the right of it. We then perform row reduction until we are able to obtain the identity matrix on the left side. Once we have do that, the resulting matrix on the right side is A inverse, A^(-1).
In this video I show a full example of finding the inverse of a square matrix by perform Gauss-Jordan or Row Reduction.
Note that there are special formulas one can also use for the 2 x 2 case that many people know or have seen but the procedure in the video is more general so it is useful to know.

[patrickjmt]

Hi all! Please post comments, questions and anything else on your mind in the comment section! Also, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly :)

[vaibhavpurohit]

I hope youtube is paying you for this man.
All hail Patrick.

[abigailfuadhassen]

After 8 years this video is still helping. Thanx a lot. Clear and precise❤️

[DemarcusRichardson]

I buckled down and figured it out using the textbook, only to come here and see a MUCH CLEARER way!

I should've known.

[aSPiReGoaLS-ekbz]

Eleven years down the line and this video still have that importance …got a test on Monday
Thanks soo much

[garciafernandez]

I just wanna say thank you so much in a day I have an online exam and I've just used one of your other videos for completing the square and this is reallly helpful with revision and the way you completed the square I found to be easier than using the formula.

[nareshtevez]

Tomorrow is my finals, my first exam is Engineering Mathematics 2, thank you so much sir, it helps me :)

[whovikrantsingh]

The only video, which is btw both short and concise, that you would need on the Gauss Jordan method.

[THETHPHANTOM]

i like that patrickJMT gets straight to the point with out gravely expecting us to go back and start from zero in order to understand what his teaching( like you know who does it).

[fashionbeauty]

I have a test tomorrow, oh gosh I'm such a procrastinator xD

[gdragon]

youve saved my life so many times dude thanks

[ruru_dee_dembe]

Thank you so much, have a test tomorrow and this opened my brain, love from south africa 🇿🇦

[Hendrixhero]

Omg I've been stuck on a math problem for half an hour. Thank you jesus for uploading!

[topdaily]

Thank for this tutorial. It helps a lot i have my quiz tomorrow about this.

[mysmallcap]

Thank You so much for having my back always man

[JohnWick-rnuv]

thanks - 10x easier than what my prof said

[valentinaarcila]

you made everything so clear, thank you so much

[nimrajabeen]

Ur explaining way is far far better than my sir....

[ahmednesartahsinchoudhury]

Which playlist contains this video? Can't find the playlist :(

[kellymoses]

Thank you I've learn a lot from you