In this video, I explained the meanings of eigenvalues and eigenvectors. I also did a step by step guide to computing them. The other eigenvector is [ 1, -2 ]
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@sudiptoatutube7 ай бұрын
The very moment I see your smiling face, I feel happy! You are such an wonderful and passionate teacher sir!
@fathertedczynski7 ай бұрын
One of the most important concepts, encountered super frequently in so many branches of maths/stats/economics and even AI nowadays. Thank you for explaining Eigenvectors so nicely!
@user-xl1ig1bn6i7 ай бұрын
If Lamda =3, then v=[-2 1] so, this is the eigenvector 2
@dirklutz28184 ай бұрын
And quantum mechanics! 🎇
@saba66017 ай бұрын
Mr Newton-you have just delivered an excellent exposition on a very important topic on Linear Algebra.Salute to you for your humble and yet professional delivery. Regards Dr.Sabapathy (Mathematician Singapore 🇸🇬)
@PrimeNewtons7 ай бұрын
Thank you! Glad you think so.
@thisisanexcellenthandle7 ай бұрын
As a student studying in German and having a maths exam next week, and therefore watch maths videos a lot here, I no joke did not understand the title for 2 minutes straight. Why Eigen but vectors instead of Vektoren? A nice surprise for me surely
@chuckblevins-2277 ай бұрын
I wish you had been around 50 years ago. What a great explanation!
@mallika93637 ай бұрын
Thank you so much! I'm currently studying this same topic! And your handwriting is amazing!
@user-gc4ep5pz7b5 ай бұрын
Sir your greatness is truly appreciated Thank you warmly from Iraq❤❤
@punditgi7 ай бұрын
Prime Newtons is our very own master teacher! Unser eigener Meister Lehrer! 🎉😊
@maelysbourry10412 ай бұрын
You litteraly saved me for my final exam I love you
@PrimeNewtons2 ай бұрын
Congratulations!
@greatgreatleo22 күн бұрын
very nice video! you actually explain the reasons for why we do what we do and it makes all the difference for learing!!
@user-zi8db6wq2b7 ай бұрын
Iam impressed by how effective and efficient the presentation of your online video lecture is ,am following you here in East Africa at South Sudan Juba
@SimoneMarion6 ай бұрын
Penso che questo professore sia uno dei migliori che abbia mai visto in tutta la mia carriera scolastica. Dopo tanti anni ho voluto iniziare di nuovo a studiare matematica e fisica perché dopo l'università non ho avuto occasione di applicarla nel mio lavoro. E' un vero piacere seguire le lezioni di questo signore!!!!!
@holyshit9227 ай бұрын
It is good to see you in algebra video after the pause
@alicianieto2822Ай бұрын
This gentleman deserves more of my tuition money than my university
@alexanderst.799313 күн бұрын
Mate i'm studying for a test, yet your attitude is so fun, i'm actually starting to like linear algebra lol. Thank you man.
@Avyskier2 ай бұрын
This is spectacular. Thank you! Can you please go over repeated eigenvalues and their possible eigenvectors?
@frankteunissen61186 ай бұрын
A German once said to me that only German speakers and Dutch (me) speakers can have a really true understanding of what an eigenvalue or an eigenvector is. And yes, I have spelled them correctly because in Dutch a noun is not spelled with an initial capital, in contrast to German.
@dirklutz28184 ай бұрын
Inderdaad!
@faustobarbuto7 ай бұрын
Awesome. Your joy of teaching jumps from the screen, it's almost palpable. May I suggest a video class on the _geometrical_ interpretation of the eigenvalues and eigenvectors. I would love to see your take on this topic.
@mikefochtman71644 ай бұрын
Just starting your mix on eigenvalue/eigenvectors and it's great. I've always struggled with these and your explanation of Av=lambdav is very helpful.
@deekshamohanty3 ай бұрын
Mr. Newtons your video SAVED me. Thank you so much for the wonderful explanation sir.
@hqs95856 ай бұрын
Amazing videos, a full 10! Explained beautifully, clearly, best in youtube. Thanks
@user-xl7tc1cv3k4 ай бұрын
There's an easy way to calculate Eigen Characteristic Equation of a 2x2 Determinant The coefficient of x is the trace of the determinant (Sum of the Top Left and Bottom Right elements). And the constant term in the equation is the Determinant value of the Matrix.
@utuberaj607 ай бұрын
Great video Mr Newton. You explained this concept so fluently- something I could never assimilate from text books. I know that this idea is applied in Quantum Mechanics. May be next video you can give some actual applications of the EVs. Have a great day. You are wonderful 👍
@georgetallah65684 ай бұрын
You are over the bar. Excellent
@kdhd1004 ай бұрын
This professor is really good....
@valor36azАй бұрын
What a great teacher!
@tonui61143 ай бұрын
Great explanation, thanks so much
@jacobgoldman57807 ай бұрын
[1,-2] is an eigenvector associated with the eigenvalue of 3.
@bestvideo91582 ай бұрын
Did you check it it satisfy AV=YV ? No right?
@_foley_6371Ай бұрын
@@bestvideo9158 buddy it did work plz check again!
@prantomollah48993 ай бұрын
best teacher Just Love Sir
@unzamathematicstutormwanaumo5 ай бұрын
Very perfect explanation 😂👏👏👏 bravo!
@jamesmunroe65587 ай бұрын
Great explanation!
@PrimeNewtons7 ай бұрын
Glad you think so!
@rabiumuhammed34967 ай бұрын
You are awesome!
@douglasstrother65847 ай бұрын
Computing eigenvalues & eigenvectors shows-up ad nauseum in Math, Physics, Engineering, etc. A powerful application of Linear Algebra is in Differential Equations, where the concepts of eigenvalues, eigenvectors, orthogonality, inner product, etc. are used to construct solutions.
@0day450Ай бұрын
thank you sir for save my life!
@libsxdium7 ай бұрын
Hey bro, you're as cool as always!
@Sleepy_hats20246 ай бұрын
hi mr. newton im new to ur channel and ur vids are great and i have a doubt can u tell me how u find out the other eigenvector ?
@jan-willemreens90107 ай бұрын
... Good day to you Newton, I need to add that " Eigen " is not only a German word, but also a Dutch word (lol), and now I'm continuing your presentation regarding LinAlg ... take care friend, Jan-W
@utuberaj607 ай бұрын
Great. What does that mean in Dutch?
@jan-willemreens90107 ай бұрын
@@utuberaj60 Good day to you sir, " Eigen " in Dutch means let's say " from me "' , "' my property "' , "' my possession " , e.g. ' mijn eigen huis ' means ' my own house ' or ' een eigen karakter hebben ' means ' having a character of his/her own ' ... I hope this made it a little clear to you?! ... take care, Jan-W
@fikrulihsanarifin13012 ай бұрын
GREAT !!!!!!!!
@WrongDescription16 күн бұрын
Thank you!
@PrimeNewtons16 күн бұрын
You're welcome!
@williamsojah84024 ай бұрын
Man u are good
@RahulSingh-dr1dl7 ай бұрын
Sir, please make a video on schrodinger's wave equation. .....
@Cycrypt0117 күн бұрын
Thak you sir
@nanamacapagal83427 ай бұрын
Question: in a matrix like 1, -1 1, 0 If I try to get the eigenvalues I end up with L^2 - L + 1 = 0 And now L must be complex. Do the eigenvalues and eigenvectors still exist as complex numbers, or do they not exist at all?
@alphalunamare7 ай бұрын
So according to QuantumMechanics we live in a Determinant Universe? :-) I like your style of presentation. I do have a problem with determinant's however. To me they are just algebraic entities that are used to help work things out. But what are they? What is their reality in the Physical World? We use matrices to represent things, like Dirac did say, but what did the determinat of a matric mean in that conceptual bundle? I can agree that their use algebra is consistent and that adjuncts are only a little more blind numbingly dumb. I tend to see eigenvectors as a prefered direction and the eigenvalues are just their scalar, ie an attribute. What I can't see is the 'Physical' meaning of the determinant in all this. If a matrix is representative of a physical reality then its determinant must also be, but I haven't a clue as to what. You could accept that they are just algebraic flukes but that would be to doing what folk have been doing for the last 100 years, just calculating. I suppose I am looking for an intuative view of what a determinant is. It has bugged me for a life time, your presentation has rekinled my curiosity :-)
@user-bd3vc6ih1zАй бұрын
Wow
@theerthamemes2 күн бұрын
Answer for V2 is 3 and -6
@lakshanchamod12084 ай бұрын
@aryatuhwerajimmy38927 ай бұрын
Wea do you lecture so that I can apply there
@amoscasey6114Ай бұрын
What if my X1 is > 1, eg 2,3 etc what will be my X2
@ManuStephen-wv7jy3 ай бұрын
S0 de eigenvectors u will de coefficient as de answer
@jbasanth48967 ай бұрын
2 of mat {1 0 0 1}=2 x 1=2 when multiplying 2 and matrix it will become {2 0 0 2} then it will become 4 i just need answer
@rekyfx18914 ай бұрын
can someone explain to my why the x1 = 1 in the eigen vector ? Btw great clip!
@PrimeNewtons4 ай бұрын
You just choose 1. You could choose any other number as long as it's nice for you. Just avoid 0 in this case so you don't get [0 0].
@rekyfx18914 ай бұрын
@@PrimeNewtons okk thank u
@ioannismichalopoulos69362 ай бұрын
The other eigenvector is (1,-2)
@ioannismichalopoulos69362 ай бұрын
Wolfram|Alpha code: eigenvectors | (1 | -1 2 | 4)
@andrejflieger41827 ай бұрын
Ja, Deutschland ist überall. May you guess what this languqge is😊
@kuber24557 ай бұрын
doesn't the first eigenvector be not only [1,-1] but [any number, -any number] ?
@kuber24557 ай бұрын
also second eigenvalue has infinite number of solutions. Is it correct?
@Yougottacryforthis7 ай бұрын
but of course. Eigenvector is kind of a misonmer since it is not unique. Think of it as Eigenspace that is the span of infinitely many eigenvectors...
@holyshit9227 ай бұрын
You can record video about this Prove that tr(A^{m}) = sum_{k=1}^{n}{λ_{k}^{m}} in the near future
@PrimeNewtons7 ай бұрын
Is there a way to do that without talking about the Jordan canonical form? Or would I have to stick to diagonalizable matrices?
@holyshit9227 ай бұрын
@@PrimeNewtons I thougth that there is easy explanation without Jordan form working for all matrices not only diagonalizable
@PrimeNewtons7 ай бұрын
@@holyshit922 Yeah. Maybe Shur form but there's a lot to explain. Maybe in the future.