@@youkai7838 wtf guys do you learn than? Looks like easy tests...Like I would like to see something as ez as this in my test...lol is high school or what?
Consider the simple example of p(x)=x-1. p(1)=0, and so we say that 1 is a root/zero of p(x). The same concept applies to matrices as well, where the zero element is the zero matrix. Notice that p(identity matrix)= identity matrix - identity matrix = zero matrix. We can therefore say that the identity matrix is a root/zero of the polynomial p(x)=x-1.
Only 8 minutes but that's all I need! Thank you!!!!!
Been stuck on 1 page for 4 days! (Subj. Functions of Matrices). Watched your 8 minute video and I can move on now!! Thank you, thank you, thank you.
Great! :-)
Great explanations!!! Many Thankssss!!!
No doubt u are a gr8 explainer
Thank you so much!!!!
Thank you sir!
Thank you sir!☺️❤️
thanks sir for your explanation.
Q\ what if I want to change vector [4,7] to polynomial?
We can only take integer powers of square matrices, so it is not possible to do the same thing for rectangular matrices.
thank you fot the explanation!
Thank you ♥️
Very helpful !
[[-b/a, -c/a],[1,0]]
I'm pretty sure I had the 3x3 matrix at some point.
Thank you so much 😊
Thank you so much SIR🤍🖤🤍🖤🤍
Wonderful sir❤
I have a test in 4 hours, this video is a life saver. Thank you sir😁
I have a test in 31hrs, this video is a life saver. Thank you sir.
lol
I have a test in 4months and this is a life saver for me too
@@youkai7838 wtf guys do you learn than? Looks like easy tests...Like I would like to see something as ez as this in my test...lol is high school or what?
I have a test today. This is a life saver.
thankx very much
Thank you very mach sir
Thanks a lot
what is the name of this method
Helped a ton, thanks mate!
What is the meaning of filling in a matrix in a polynomial? Can you give an example where it can be used?
A fundamental and hugely important application of this idea is the notion of eigenvalues and eigenvectors. Truly beautiful stuff!
how can i possibly make a polynomial within a matrix that makes the matrix a root of that equation? or vice versa
Consider the simple example of p(x)=x-1. p(1)=0, and so we say that 1 is a root/zero of p(x). The same concept applies to matrices as well, where the zero element is the zero matrix. Notice that p(identity matrix)= identity matrix - identity matrix = zero matrix. We can therefore say that the identity matrix is a root/zero of the polynomial p(x)=x-1.
@@slcmathpc okay..thanks
I have an equation
5x^2 - 4xy + 2y^2 = 30
I need to convert it to a form
(x y) A ((x y)transpose) = 30
How do I find this A matrix?
Do a quick search on "quadratic form". Good luck. :-)
@@slcmathpc Got it now. Thank you Sir !
Thanks
Brilliant!!!
:-)
thanks😘
Thnxx
+1 thanks!
:-)
where are you from.?
Low volume
After many time
(y)
These videos are wonderful, but PLEASE record them at a reasonable sound level, that is, make them LOUDER!! I can barely hear the lessons.
If you ever get to watch more recent videos, you will notice that I have solved this problem.
Where did you get those figures 7,10,15 and 22 because when I square matrix a Am getting those figures
😒🥰