The 4 Ways to Tell if a Matrix is Diagonalizable [Passing Linear Algebra]

Skip to the 4 ways: 6:08
Diagonal matrices CAN have zeros along the main diagonal! I kind of misspoke at 0:35. A matrix is diagonal when all entries NOT on the main diagonal are zero, but that doesn't exclude the main diagonal entries from being equal to zero.
Link to example problem: • Diagonalizing 3x3 Matr...
diagon alleyzation

[@wnualplaud2132]

Thanks. After 2 years, I managed to pronounce the word, and finish your video of 8 minutes long.

[@hamodetahaht]

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!

[@andrii5054]

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!

[@ricoraxelhd]

Thank you very much Not only did i learn to pronounce it but also how to tell if a matrix is diagonalizable lol

[@farisdurrani]

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!

[@user-gs7zb3mu7g]

This is the best and most simplified video I have watched about diagonalization. thank you so much

[@nicolexfrumkin]

Very clear explanation and straight to the point. Thanks!

[@viktorkhan8518]

Very intuitive and well structured video! Thank you

[@russaz09]

Finally learned how to pronounce the word. Great video.

[@captainyaptin5811]

bro you’re a god, thank u so much

[@jamesjanzen2604]

Good video, very easy to listen to, very easy to follow.

[@leoal6653]

Very clear, thanks a lot!

[@HK-sw3vi]

thank you good sir for your service

[@isxp]

This was informative and hilarious. +1. Next semester I take fluids and Thermo, incase you needed video ideas.

[@jennifergoetz4716]

Thank you!!

[@muhammadarslanbhatti2139]

for point no.4, can it be said, for each 'distinct' eigenvalue, geometric mult= algebric multiplicity?

[@quixiee_]

very helpful, thank you!

[@forfun5140]

where can i find the lecture notes?

[@user-mt7if9ru3w]

Is one condition enough to decide if a matrix is diagnolizable ? Or we must consider all 4 conditios together.

[@Prof.afterMATH]

short sweet and informative

[@danielrocha2521]

intro was enough for me to sub lmao

[@blancaroca8786]

At 4.30 seems the n is used for matrix rank and also some random power of the matrix

[@mastrammeena328]

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

[@mastrammeena328]

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

[@adilnazmuhammed6852]

Do you have any sources which clearly explains to a beginner how an eigen value can has more than one eigen vector?

[@mastrammeena328]

@@adilnazmuhammed6852 there are lots of videos on youtube on this topic It's very easy you will understand them

[@adilnazmuhammed6852]

@@mastrammeena328 yeah dude. Saw two or three of 'em. I kind of have a basical idea about them now.

[@hamedhilal7113]

great!

[@mastrammeena328]

Wow even better than the book which I am studying

[@ThatTechGeek001]

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 ❤️

[@bhaswardeepsikdar446]

nice video

[@TheSlowGlow]

Nice video, but A doesn't necessarly need to have n distinct eigenvalues, it's okay if the alg.mult. is more than 1

[@stemsupport3645]

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.

[@johnyou9039]

You're an absolute beauty

[@lym3718]

Your videos make me believe in humanity.

[@djinnhe4rt340]

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

[@Osmanity]

maybe more example would be even more understanding than just explaining but thank you

[@higheloguy9057]

If you want to know The 4 Ways to Tell if a Matrix is Diagonalizable: skip 80% of vid to 6:15

[@neevetiasli]

i am taking differentiel equation before i learn linear algebra and it hurts...

[@jasminefitzsimons896]

ANGEL

[@dangargiullo9634]

thanks great video you sound like h john benjamin (archer/bob's burgers)

[@YTSPoster]

Dude you could honestly replace my lecturer

[@user-yx5ts2uk4k]

You should have added that every symmetric matrix is also diagonalizable. Great video tho!

[@deepakmishra2336]

Is singular matrix diagonalisable

[@stemsupport3645]

Sometimes yes and sometimes no! There is no connection between invertibility and diagonalizability. Check out this video: kzbin.info/www/bejne/rJeqfqyej8eArcU

[@chavelito]

3:10. COVID!

[@Zelles21]

whaat to do after my gf breaks up with me?

[@theodorostsilikis4025]

Every matrix is diagonalizable with complex numbers

[@mastrammeena328]

Lol you should be able to pronounce it that's thr first step

[@CNC_guy]

I would better read the book then watching this, if you can not give an example to explain, don't make videos about it