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. ❤
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]
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
