Bro, your classes are great. Even though you sound like Klaus from American Dad 😂😂😂😂 If universities would invest some time and money in talented people like you, knowledge would be accessible to all.
I would say that this video is a nexus point where real analysis meets linear algebra. Do you have any suggestion for an algorithmic approach toward this topic ? As I watch trough these video lectures I try to think about algorithms to implement some of these theorems. This video in particular reminds me of matrix factorization that we use frequently in optimization, solution to systems of linear equations etc.
Yeah, you can implement some algorithm. In the end, it's solving a system of linear equations where you can use your normal algorithms. However, before you need to find all the zeros of a polynomial.
Can i asked one things about pure math, I hear that in Pure math people will use less number and less caculate , they start to use more proof then may i ask that is truth or not ?
Sir please can you arrange your playlist in chronological order I don't know where to start please 🙏 when I study one thing I get confuse and go to order video and same thing continues.
Yeah, since this is not a linear algebra video, I didn't want to explain all the details. Even solving the whole system was too much, I think. I have suitable videos about this in my channel you can watch. Moreover, I am creating a whole playlist for linear algebra at the moment :)
Solving the equations using a matrix is perfect in this case. Thank you for showing this approach.
I am glad you like that. And thank you for the support :)
Amazing expaination as always
Glad you think so!
Cool! I hope this may perhaps can be also shown from the complex analysis point of view too as it has many uses in applied math. Thanks!
Great suggestion!
Bro, your classes are great. Even though you sound like Klaus from American Dad 😂😂😂😂 If universities would invest some time and money in talented people like you, knowledge would be accessible to all.
I take it as a compliment :D
I would say that this video is a nexus point where real analysis meets linear algebra. Do you have any suggestion for an algorithmic approach toward this topic ? As I watch trough these video lectures I try to think about algorithms to implement some of these theorems. This video in particular reminds me of matrix factorization that we use frequently in optimization, solution to systems of linear equations etc.
Yeah, you can implement some algorithm. In the end, it's solving a system of linear equations where you can use your normal algorithms. However, before you need to find all the zeros of a polynomial.
Can i asked one things about pure math, I hear that in Pure math people will use less number and less caculate , they start to use more proof then may i ask that is truth or not ?
Just watch my Start Learning Mathematics series to get the answer :)
Sir please can you arrange your playlist in chronological order I don't know where to start please 🙏 when I study one thing I get confuse and go to order video and same thing continues.
Everything is ordered here: bright.jp-g.de/real-analysis/
@@brightsideofmaths 😊 thanks
you might want to actually explain how you used the echelon form to solve for A B and C at the end of video
Yeah, since this is not a linear algebra video, I didn't want to explain all the details. Even solving the whole system was too much, I think. I have suitable videos about this in my channel you can watch. Moreover, I am creating a whole playlist for linear algebra at the moment :)
You didn't show why this method works and in particular why we use /x, /(x^2), /(x^3) and so on. Where's the proof?
The proof is a result of linear algebra :)