Diagonalization | Eigenvalues, Eigenvectors with Concept of Diagonalization | Matrices

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This video lecture of Diagonalization | EigenValues, EigenVectors with Concept of Diagonalization | Matrices | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
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1. Diagonalization of Matrix with the help of EigenValues, EigenVectors
2. EigenValues, EigenVectors with Concept of Diagonalization
3. How To Find Eigenspace Or Modal Matrix P ?
4. Diagonalization Of Matrix When Eigenvalues and Distinct with Example.
5. Diagonalization Of Matrix When Eigenvalues and Repeated with Example.
6. This is Part Of Linear Algebra.
#Diagonalization #EigenValuesAndEigenVectors #AlgebraicMultiplicity #GeometricMultiplicity #EigenVectorExample #Matrices #LinearAlgebra #VectorSpace #EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing for NET, GATE and IIT-JAM Aspirants.Find Online Solutions Of Diagonalization | EigenValues, EigenVectors with Concept of Diagonalization | Matrices | Short Trick To Find AM and GM | Problems & Concepts by GP Sir (Gajendra Purohit)Do Like & Share this Video with your Friends. If you are watching for the first time then Subscribe to our Channel and stay updated for more videos around Mathematics
Time Stamp
Diagonalization of matrix: Examples
0:00 | An intro
0:14 | Topic introduction
1:26 | Question 1- 2*2 matrix with distinct eigen values
8:10 | Question 2- 3*3 matrix with distinct eigen values
13:54 | Queston 3- 3*3 matrix with repeated eigen values
20:35 | Overview of the concept
22:15 | Conclusion of video
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Dr.Gajendra Purohit

Пікірлер: 381

  • @gajendrapurohit
    @gajendrapurohit3 жыл бұрын

    Thanks for your comment, your appreciation always motivate us to do such kind work. Keep Watching OUR latest video. Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit

  • @vamsiganta7549

    @vamsiganta7549

    3 жыл бұрын

    Sir can the eigen vectors be in fractional values

  • @dheerajnagar3488

    @dheerajnagar3488

    Жыл бұрын

    Good

  • @jagdishsharma884

    @jagdishsharma884

    Жыл бұрын

    @@vamsiganta7549 yes eigenvectors can be fractional too

  • @gorakhnathpandey6202
    @gorakhnathpandey6202 Жыл бұрын

    Sir I know you want to keep the video short but your aim is to teach not to skip please understand that we sometimes find it difficult to process the explanation because of skipped steps

  • @abhisheksinghbhau5797
    @abhisheksinghbhau5797 Жыл бұрын

    Sir,there is an error in the last example.The last eigen vector formed will not be -1,1,0 instead it will be -1,2,0 sir

  • @CricketInsightVK18

    @CricketInsightVK18

    4 ай бұрын

    Yes 💯

  • @Doveswati9667

    @Doveswati9667

    2 ай бұрын

    Yes

  • @UzairMohiuddin

    @UzairMohiuddin

    Ай бұрын

    Nah bro, it is (1, -4, 1) they should be orthogal in pairs

  • @anishchouhan9069

    @anishchouhan9069

    25 күн бұрын

    Yes 👍

  • @meliodassama9790

    @meliodassama9790

    6 күн бұрын

    @@UzairMohiuddin orthogonal with different eigenvector with different eigenvalues not same

  • @khushboojindal6489
    @khushboojindal64895 ай бұрын

    Sir aap kuch solve karke hi nhi dikhate bas.. Direct ans likh dete ho 😕

  • @user-ye8st4hi4f
    @user-ye8st4hi4f Жыл бұрын

    understood the whole concept ,thanks alot GP sir. but the questions of this topic are very lengthy especially if the ques is of 3*3 matrix with repeated eigen values .Khair it is what it is. once again thank you so much GP sir for this beautiful and well structured lecture.

  • @satorugoju2662
    @satorugoju26623 жыл бұрын

    Thank you sir for the Playlist !!! It helped me a lot

  • @RohitKumar-dy2gc
    @RohitKumar-dy2gc3 жыл бұрын

    i watched 4 hr before end sem and totally understand matrices

  • @rramotivation6537

    @rramotivation6537

    Жыл бұрын

    I toooo

  • @AkankshaSunaar-ro1zd

    @AkankshaSunaar-ro1zd

    Жыл бұрын

    😢

  • @gchat9906
    @gchat99062 жыл бұрын

    19:07 it is assumed that x2=2k1 but the final eigenvector at 19:33 has x2=k1 which I think is a minor typo.

  • @dipingrover1970

    @dipingrover1970

    Жыл бұрын

    bro ur comment helped me i was confused at that part

  • @khushikhwahish4155

    @khushikhwahish4155

    Жыл бұрын

    Is it right or not?

  • @audichyab1896

    @audichyab1896

    Жыл бұрын

    As sir say we can take any value there

  • @narukaji6808
    @narukaji68084 жыл бұрын

    Sir superb than previous video because it looks like a v.I.p class and sir aap padhaate to best hi h you are the best teacher sir salute you. By Naruka vikas

  • @Monika_singh2699
    @Monika_singh26994 жыл бұрын

    Thanks so muchh sir ji 🙏🙏.....

  • @kumarkrish1073
    @kumarkrish10733 жыл бұрын

    Perfect videos covering all the concepts Thank you for this sir🙏🙏

  • @VIKASHKUMAR-kh3nk
    @VIKASHKUMAR-kh3nk2 жыл бұрын

    Sir, this has been so helpful. Thanks a lot sir

  • @Deepesh.Lodhi_IIT-D
    @Deepesh.Lodhi_IIT-D Жыл бұрын

    very helpful lecture for our 1st year mtl course at IIT DELHI. thankyou sir,.❤❤❤

  • @AjayKumar-ul2dg

    @AjayKumar-ul2dg

    9 ай бұрын

    Same for our 1st year Control systems at IIT Kharagpur.

  • @l1_07_rajadas4
    @l1_07_rajadas42 жыл бұрын

    Most powerful vdo to understand mathematics for b tech. And bsc 🔥 as well ....

  • @Rkcreatee9927
    @Rkcreatee99273 жыл бұрын

    Thanks sir for your unbelievable support

  • @PrinceKumar-lw8gx
    @PrinceKumar-lw8gx2 жыл бұрын

    I liked the way of teaching, each and every concept are explained in detail.

  • @Goal_LBSNAA_24
    @Goal_LBSNAA_243 жыл бұрын

    Thanku so much sir 🙏... This video is very helpful...

  • @ramakantvats4717
    @ramakantvats47172 жыл бұрын

    sir i do not know that how can i express my things but i really want to say to you that you are the best teacher in this world .

  • @abhishekmanavsingh6886
    @abhishekmanavsingh68862 жыл бұрын

    Gurudev thank you for the awesome videos. Naiya paar lagaiye..😇😇 Aur videos banate रहिए.

  • @suhanadas4632
    @suhanadas46323 жыл бұрын

    It was very helpful....all the video's of this linear algebra was really great and easy to understand...Thank you Sir..

  • @aniketsahu3693
    @aniketsahu36932 жыл бұрын

    Sir, your videos are really helpful.😊

  • @nehanyol5636
    @nehanyol56363 жыл бұрын

    Thanks for sharing this with us 😃😃 this was a great help

  • @pankajsharma9038

    @pankajsharma9038

    3 жыл бұрын

    Bhai sir n puri vector wali book kra rkhi h kya

  • @akash3.141
    @akash3.1414 жыл бұрын

    Thank you sir...eagerly waiting for this

  • @sadamhusain1431
    @sadamhusain14313 жыл бұрын

    all the lectures are very helpful thanks alot sir g

  • @niteshbind
    @niteshbind2 жыл бұрын

    The best you tube channel for higher mathematics 👌👌👌

  • @IntelligentEra
    @IntelligentEra3 жыл бұрын

    Sir your videos are very helpful for us . Thanks for this.

  • @sriharikulkarni3348
    @sriharikulkarni33483 жыл бұрын

    Har ek trick ke liye dusra video dekhna padta hai

  • @pavitrasharma9127
    @pavitrasharma9127 Жыл бұрын

    God gift h sir aap mere liyeee thank you so much sir 🙏 😊 ❤️

  • @UsmanFarooq-vb1cp
    @UsmanFarooq-vb1cp Жыл бұрын

    Sir your videos are too much helpfull. Lots of Love from PAKISTAN

  • @anirudhvashisth9761
    @anirudhvashisth97613 жыл бұрын

    Sir I am very thankful to you for helping me study this difficult topic with this easy teaching method 👍🏿👍🏿👍🏿👍🏿 Hats off to you sir 🌟🌟👌👌

  • @SaddamHussain-js6ut
    @SaddamHussain-js6ut3 жыл бұрын

    Very thank you respected sir..

  • @anmaymishra3872
    @anmaymishra38722 жыл бұрын

    Thanks sir such a wonderful explanation

  • @samarpittripathi1012
    @samarpittripathi10123 жыл бұрын

    Sir please make videos on Real Analysis also... It's a very confusing topic and only you are capable of explaining it...

  • @tuhinsuryachakraborty
    @tuhinsuryachakraborty Жыл бұрын

    very conveniently explained sir

  • @Divyakant2341991
    @Divyakant23419914 жыл бұрын

    Outstanding mind blowing superb teaching and i have no words for your teaching method

  • @muhammadjangsher6733
    @muhammadjangsher67334 жыл бұрын

    Distribution of discrete uniform . And bernoulli. Geomatric. Hypergeomatric also.

  • @bijitkonwar9415
    @bijitkonwar94153 жыл бұрын

    Thank you sir this is really helpful

  • @pradipmsc9532
    @pradipmsc95322 жыл бұрын

    You are the best teacher in India sir 😍😍😍😍😍😘😘😘😘

  • @lecturesbyhamza72903
    @lecturesbyhamza729034 жыл бұрын

    Very nice. Great job. is method ko kia kehty hy? Sir

  • @shubhankarbardhan5778
    @shubhankarbardhan57783 жыл бұрын

    Very helpful lecture sir.

  • @arunhait5463
    @arunhait54633 жыл бұрын

    Very good teaching.

  • @rameshprajapathi3821
    @rameshprajapathi38213 жыл бұрын

    Sir ,how to find out diagonal matrix orthogonally similar to the symmetric matrix ?

  • @aariffmohd4980
    @aariffmohd49802 жыл бұрын

    Amazing explanation sir

  • @R2Sharma487
    @R2Sharma4873 жыл бұрын

    You are a good teacher for mathematics

  • @pankajsharma9038

    @pankajsharma9038

    3 жыл бұрын

    Bhai sir n puri vector wali book kra rkhi h kya

  • @dronamrajuchandarshi9758
    @dronamrajuchandarshi97583 жыл бұрын

    Thank you sir for the class

  • @prachigoyal5866
    @prachigoyal58663 жыл бұрын

    awsm sir , thankyou so much

  • @RohitYadav-zf3yc
    @RohitYadav-zf3yc3 жыл бұрын

    Amazing explanation

  • @goutamkumarmaharana8703
    @goutamkumarmaharana87033 жыл бұрын

    Sir..ur style of teaching is vry effective...and we learn more concepts from u😍😍

  • @solutionofmathematics1411
    @solutionofmathematics14113 жыл бұрын

    Very helpful sir 👍

  • @R4js108
    @R4js1082 жыл бұрын

    It,s really sir so helpfull.😃🥳

  • @varunnigudkar5131
    @varunnigudkar51318 ай бұрын

    helped a lot!! kal exam hai sir, sem1 btech. You are a saviour.

  • @amxreditor

    @amxreditor

    8 ай бұрын

    Us bhai endsem hai kal

  • @RahulKumar-db9fd
    @RahulKumar-db9fd3 жыл бұрын

    Video is better than the best👍👍👍

  • @SanimeshPal
    @SanimeshPal3 жыл бұрын

    Thank you so much Sir 🙏🙏🙏

  • @nikhilporea4571
    @nikhilporea45712 жыл бұрын

    Awesome lecture ✌✌

  • @sourajittechnical
    @sourajittechnical Жыл бұрын

    Sir in the last moment of this video you said that if there are any 2 independent variable , it is difficult to find diagonalization so in that case the matrix is not d.g.z. In the previous video of A.M and G.M , in last question AM=GM=2 , so that matrix is d.g.z , but lambda2 and lambda3 value are same so that so that after solving it, that matrix can't be d. g. z. Please sir explain.

  • @bezizoltar9804
    @bezizoltar9804 Жыл бұрын

    Sir 19:37 p lamda=-1 k liye jb hm dusri eqn bana re hn jisme x2=2K assume kiya h but fir hmne final eigen vectors likhne k liye usme K common lekr x2=1 kyun likh diya-like vectors to -1,2,0 aa jane chahiye the na

  • @anuragsarate9500

    @anuragsarate9500

    Жыл бұрын

    Exactly...

  • @Inf--lq7gt
    @Inf--lq7gt2 жыл бұрын

    Sir your method is great

  • @EduMaths_pi
    @EduMaths_pi3 жыл бұрын

    Thanku sir very much 🙏❤️

  • @VedantNaik1
    @VedantNaik1 Жыл бұрын

    I have doubt for repeated Eigen value case; can I chose x1=0 and x2=k for 1 vector and x2=0 and x1=k for other eigen value ?

  • @shalu4839
    @shalu48394 жыл бұрын

    Thanku so Mch sir g🙏

  • @asif.a15
    @asif.a152 жыл бұрын

    Bless you sir.

  • @AKarttutorial-by.Siddhartha
    @AKarttutorial-by.Siddhartha2 жыл бұрын

    Very helpful sir🥰

  • @AnkitKumar-pk8tk
    @AnkitKumar-pk8tk2 жыл бұрын

    Thank you so much sir 👍🙏

  • @anonymousone5317
    @anonymousone53175 ай бұрын

    i have a question....... if we write diagonlized matrix directly with eigen vaalues then how to decide which value comes in which row?

  • @armathematics8307
    @armathematics8307 Жыл бұрын

    Helpful👍

  • @kanhAmad
    @kanhAmad Жыл бұрын

    Great one sir

  • @taseemakhterabbasi8306
    @taseemakhterabbasi83063 жыл бұрын

    Thank you so much sir

  • @Ram_bhakt10
    @Ram_bhakt102 жыл бұрын

    Bahut achha samgh aata hai sir Thanks for you

  • @NRUSINGHAPRASADMAHAPATRA
    @NRUSINGHAPRASADMAHAPATRA4 жыл бұрын

    Very nice sir👍👌.

  • @Currentlyunknownhuman
    @Currentlyunknownhuman Жыл бұрын

    thanks this is very helpful for college going students

  • @kumarsonariya7221
    @kumarsonariya72213 жыл бұрын

    Sir, mene aapke jaise achhe sir all youtube par nahi mile

  • @nikhilsaikothakota5426
    @nikhilsaikothakota54263 жыл бұрын

    17.27 we have to take -1 in place of lamda but you took +1

  • @princenagar1686
    @princenagar16869 ай бұрын

    Nicely explained

  • @rakshitdevra7060
    @rakshitdevra70603 жыл бұрын

    thank you very much sir

  • @rahulmax4352
    @rahulmax43527 ай бұрын

    Sir itne time se apse padha or bhot accha out put mila IIT JAM CLR krna or sb to baad ki baad h linear algebra aapse pdh kr kari jo tha accha smjhaya but adequate ni kraya kuchh theorems ni hai i mean its just 30% of linear algebra complete syllabus please maintain playlist sir

  • @tikamrathore5393
    @tikamrathore53934 жыл бұрын

    Thanks sir ji

  • @abhinavkumar-iy3ev
    @abhinavkumar-iy3ev3 жыл бұрын

    very helpful

  • @bgmikingyt6726
    @bgmikingyt67262 жыл бұрын

    Sir bahut achha content h apka Love you Sir

  • @sakshichaudhary5808
    @sakshichaudhary5808 Жыл бұрын

    Very Very Thanks guru ji 🙏

  • @bmsAshokkumar
    @bmsAshokkumar2 жыл бұрын

    Sir , really you are legend

  • @stockbrokerindia
    @stockbrokerindia4 жыл бұрын

    Grear🔥

  • @debapriyamohanty6769
    @debapriyamohanty6769 Жыл бұрын

    Thank you sir❤

  • @ektachaurasiya9343
    @ektachaurasiya93433 жыл бұрын

    Sir bsc 2nd dynamics and statics ke video banaye please

  • @pranavpanjabi
    @pranavpanjabi4 жыл бұрын

    Thank you sir for video Please combination ka concept and competitive exam ke questions ka video banao ya agar video banaya hai to Video ka link de dijiye sir please Thank you

  • @sarbkaurbabbu3623
    @sarbkaurbabbu36233 жыл бұрын

    sir mera ek assignmnt me question atak gya hai... lamda ki 3 values alag alag aa rahi hai... us case me kya karenge ? pz reply

  • @its_nazim_malik_9612
    @its_nazim_malik_96122 жыл бұрын

    Sir you are best

  • @AbhishekKumarsingh1729
    @AbhishekKumarsingh17292 жыл бұрын

    Thank you sir bahut help mili sir

  • @KhushmandeepKaur
    @KhushmandeepKaur3 жыл бұрын

    Thank you very much Sir. Really very helpful 🙏

  • @priyavishwakarma569
    @priyavishwakarma5693 жыл бұрын

    Thnkuuu sir🙏🏻

  • @bishwaskarki9885
    @bishwaskarki98854 жыл бұрын

    Sir please video on three dimensional solid geometry engineering mathematics II

  • @noone1554
    @noone155410 ай бұрын

    Sir in modal matrix does order in which we write eigen vectors matter???

  • @nikitasinha8181
    @nikitasinha81812 жыл бұрын

    Thank you

  • @gametech654
    @gametech654 Жыл бұрын

    Maja aa gaya SIR

  • @irumbatool2128
    @irumbatool21288 ай бұрын

    Very nice sir

  • @shubhangisanap5176
    @shubhangisanap51763 жыл бұрын

    Thanks sir 🙏

  • @ravindrapalsingh394
    @ravindrapalsingh3943 жыл бұрын

    Sir optimization techniques upar videos KZread par nhi h dale it's a humble request for bsc 3rd yr student, thankyou Your sincerely Ravindra

  • @aniketmukherjee4392
    @aniketmukherjee43923 жыл бұрын

    Lamra....!!!😂😂😂 This word is awkward.otherwise the full video is beautiful....

  • @pranjal7438

    @pranjal7438

    3 жыл бұрын

    Ok

  • @OMnabeel-kl6ox

    @OMnabeel-kl6ox

    3 жыл бұрын

    Sai kaaha 😂😂🤣

  • @depressedguy9467

    @depressedguy9467

    2 жыл бұрын

    Bhai m ko 180° ghumade

  • @awaiseditz1386

    @awaiseditz1386

    2 жыл бұрын

    Yes

  • @akankashasharma4715

    @akankashasharma4715

    2 жыл бұрын

    😂😂😂😂😂😂

  • @basitjamshed5580
    @basitjamshed5580 Жыл бұрын

    very nice vedio sir. but i think there is a mistake... the eigen vector for lambda 1 should be -2 and 3.. you have written it as 2 and -3... overall your teaching method is very good... keep it up...

  • @yashsharma5143
    @yashsharma51432 жыл бұрын

    Sir Eigen vectors ko randomly arrange krte h kya ya phir koi order hota h, diagonal matrix bnate samay?!

  • @Jawan_Gamingg
    @Jawan_Gamingg9 ай бұрын

    Sir apka bhut accha lgta hai sir very excited hi❤❤❤