Matrix Inverse by Elementary Row Operations

In this video, I showed how to compute the inverse of a matrix by elementary row operations

[davitmargaryan]

Brother I adore you, you are absolutely the best, your cap is cool too❤️

[ahmedamr]

he is a good teacher cause he give you strategy instead random operation
really approaches your work

[tylerlaceby]

I love your teaching style. Im a math and computer science major currently taking this and differential equations. The linear algebra has been touch and with your videos I have been able to grasp stuff which the book didn’t explain as well.

I love your enthusiasm and energy. Keep up the amazing work and god bless. ❤

[punditgi]

Prime Newtons is the go to place to learn about matrices! 😊

[ProsperAgbadradi]

More love boss I do enjoy your teachings ❤

[holyshit]

Maybe LU=PA decomposition next time
and then linear combination of vectos, linear dependence of vectors, row echelon forms, rank of the matrix

In LU=PA decomposition we should consider two cases
1. Permutation of rows not needed
In this case Gaussian elimination gives matrix U
and multipliers used in row operations give matrix L
2. Permutation of rows is needed
Here we choose element maximum to the absolute value in the column
(on the main diagonal and below)
All elements in the column below main diagonal are divided by that maximum element
On A[k+1:n, k+1:n] block we perform Gaussian elimination with multilpliers in the column A[k, k+1:n]

[AtafAwan-ss]

Good Good Excellent bro ❤❤❤❤❤ It's really helpful for me thank you!

[Kisha]

When we change to reduced echelon form we use different methods and the inverse it may different ?

[JoryKhaled-kp]

I am not good at English .. But I liked your simplification of explanation

[darcash]

You always hear about elementary row operations. What are advanced ones called?

[holyshit]

Online compilers have problems with code where file handling is added
(I added save work to file option and online compilers cant cope with this)
But if you compile code i sent you on your computer you should be able to run it
Warning interaction with user is written in my native language

If you want to record a series of videos about numerical methods
or you need to quickly write code for frogram solving mathematical problem Python is good option for that
(There you have package for numerical methods which can be easily installed using pip)

Series of videos about numerical methods would be a good idea but in the future