Your channel is a masterpiece, everytime i watch one of your vids , not only do i get the information i was looking for but i also die of laughter. you're helping people more than you can imagine. Cheers!
7:10 - 2nd condition is sufficient condition not necessary condition We can have n-1 distinct eignen values and n LI eignen vectors too Ex - eigne values = 1,1,3 But Eigen value 1 has two LI eignen vectors That's where 3rd condition comes in the picture If a Eigen value is repeating, say 2 times, then it must give 2 LI eignen vectors in order to have n LI eignen vectors in total
the first 20 seconds made me laugh, i was in class yesterday and tried to say "diagonalizable" to the teacher but had to repeat it 3x before i got it correct
Hey great point you're right! I was just saying that if there are n distinct eigenvalues, then you know for sure it is diagonalizable. If not, then it's a maybe like you said.
Now all we have to do is learn the circumstances under which we want to raise a matrix to a power. It's easy to explain the mechanics of doing a computation, and bingo! you have yourself a post for your channel helping people pass a course that they can't use to conduct their own research. That's why you have a few thousand subscribers. Maybe that's enough for you. There are a billion channels that explain "how to do it" (to compute). Grant Sanderson (for example) explains why.
Thanks...but how do I compute Powers of matrix given the matrix not diagonalizable. Would love to watch a video on that,most especially from you... Thanks ❤️
Sometimes yes and sometimes no! There is no connection between invertibility and diagonalizability. Check out this video: th-cam.com/video/vfGMyhZbMwc/w-d-xo.html
![Diagonalizing 3x3 Matrix - Full Process [Passing Linear Algebra]](http://i.ytimg.com/vi/0kA_VqHSpGg/mqdefault.jpg)
![Diagonalizing 3x3 Matrix - Full Process [Passing Linear Algebra]](/img/tr.png)
![MOST IMPORTANT LINEAR ALGEBRA VIDEO - Invertible Matrix Theorem ON ROIDS [Passing Linear Algebra]](http://i.ytimg.com/vi/P74M9suLIEU/mqdefault.jpg)
Thanks. After 2 years, I managed to pronounce the word, and finish your video of 8 minutes long.
Couldn't find a khan academy video on this topic so tried watching yours and I was not disappointed. The quality is on point, thank you very much!
If you want to know The 4 Ways to Tell if a Matrix is Diagonalizable: skip 80% of vid to 6:15
Your channel is a masterpiece, everytime i watch one of your vids , not only do i get the information i was looking for but i also die of laughter. you're helping people more than you can imagine. Cheers!
Thank you very much
Not only did i learn to pronounce it but also how to tell if a matrix is diagonalizable lol
This is super helpful! I'm trying to read the lengthy lecture notes but this tells me so much that I need to know quickly!
7:10 - 2nd condition is sufficient condition not necessary condition
We can have n-1 distinct eignen values and n LI eignen vectors too
Ex - eigne values = 1,1,3
But Eigen value 1 has two LI eignen vectors
That's where 3rd condition comes in the picture
If a Eigen value is repeating, say 2 times, then it must give 2 LI eignen vectors in order to have n LI eignen vectors in total
wow i was so inteligent 1 year ago
i thought i was this video for the first time then i saw i havw liked this video
Do you have any sources which clearly explains to a beginner how an eigen value can has more than one eigen vector?
@@adilnazmuhammed6852 there are lots of videos on youtube on this topic
It's very easy you will understand them
@@mastrammeena328 yeah dude. Saw two or three of 'em.
I kind of have a basical idea about them now.
Finally learned how to pronounce the word. Great video.
This is the best and most simplified video I have watched about diagonalization. thank you so much
Very clear explanation and straight to the point. Thanks!
Very intuitive and well structured video! Thank you
Your videos make me believe in humanity.
This was informative and hilarious. +1. Next semester I take fluids and Thermo, incase you needed video ideas.
bro you’re a god, thank u so much
the first 20 seconds made me laugh, i was in class yesterday and tried to say "diagonalizable" to the teacher but had to repeat it 3x before i got it correct
Is one condition enough to decide if a matrix is diagnolizable ? Or we must consider all 4 conditios together.
thank you good sir for your service
intro was enough for me to sub lmao
Good video, very easy to listen to, very easy to follow.
Nice video, but A doesn't necessarly need to have n distinct eigenvalues, it's okay if the alg.mult. is more than 1
Hey great point you're right! I was just saying that if there are n distinct eigenvalues, then you know for sure it is diagonalizable. If not, then it's a maybe like you said.
where can i find the lecture notes?
Very clear, thanks a lot!
Dude you could honestly replace my lecturer
At 4.30 seems the n is used for matrix rank and also some random power of the matrix
very helpful, thank you!
Wow even better than the book which I am studying
for point no.4, can it be said, for each 'distinct' eigenvalue, geometric mult= algebric multiplicity?
Thank you!!
Now all we have to do is learn the circumstances under which we want to raise a matrix to a power. It's easy to explain the mechanics of doing a computation, and bingo! you have yourself a post for your channel helping people pass a course that they can't use to conduct their own research. That's why you have a few thousand subscribers. Maybe that's enough for you. There are a billion channels that explain "how to do it" (to compute). Grant Sanderson (for example) explains why.
Thanks...but how do I compute Powers of matrix given the matrix not diagonalizable.
Would love to watch a video on that,most especially from you...
Thanks ❤️
short sweet and informative
Identity matrix is diagonalization, but doesn't have distinct eigen value. Any one explain it
maybe more example would be even more understanding than just explaining but thank you
You should have added that every symmetric matrix is also diagonalizable. Great video tho!
thank you
You're an absolute beauty
i am taking differentiel equation before i learn linear algebra and it hurts...
whaat to do after my gf breaks up with me?
nice video
Every matrix is diagonalizable with complex numbers
Bro can u just go over the last 4 points for me?
Is singular matrix diagonalisable
Sometimes yes and sometimes no! There is no connection between invertibility and diagonalizability. Check out this video: th-cam.com/video/vfGMyhZbMwc/w-d-xo.html
great!
3:10. COVID!
thanks great video you sound like h john benjamin (archer/bob's burgers)
ANGEL
Lol you should be able to pronounce it that's thr first step
I would better read the book then watching this, if you can not give an example to explain, don't make videos about it