Eigenvalues and Eigenvectors | Eigen Values Examples | Eigen Vectors Examples

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This video lecture of Eigenvalues and Eigenvectors | Eigen Values Examples | Eigen Vectors Examples | Matrices | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. What is Eigenvalues and Eigenvectors ?
2.How to find Eigenvalues and Eigenvectors Of Matrices ?
3. Example Of Eigenvalues and Eigenvectors.
4. Short Trick To Find Eigenvalues and Eigenvectors Of Matrices.
5. Proof of Theorem sum of eigenvalues equals trace and Product of eigenvalues is Determinante.
6. Concepts of Algebraic Multiplicity and Geometric Multiplicity.
7. This is part Of Linear Algebra
#Eigenvalues #Eigenvectors #EigenValuesExample #EigenVectorExample #Matrices #LinearAlgebra #VectorSpace #LinearTransformation #LinearlyIndependent #Linearlydependent #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.
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Time Stamp
Examples of Eigen values and Eigen vectors
0:00 | An intro
0:13 | Topic introduction
1:43 | Question 1: Find eigen values
8:26 | Question 2: Trick to find eigen vector
17:19 | Question 3
23:04 | Trick for eigen vector (Part of Q3)
23:38 | Eigen value for repeated eigen value(Part of Q3)
26:23 | Question 4
26:55 | Conclusion of video
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Dr.Gajendra Purohit

Пікірлер: 590

  • @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

  • @ajaydubey2325

    @ajaydubey2325

    3 жыл бұрын

    Thankyou sir🙏🙏

  • @umeshmahato7004

    @umeshmahato7004

    3 жыл бұрын

    tq sir

  • @qawaliandkhatab5037

    @qawaliandkhatab5037

    3 жыл бұрын

    a.o.a

  • @qawaliandkhatab5037

    @qawaliandkhatab5037

    3 жыл бұрын

    sir dual space and its properties

  • @AkashSharma-qe3lw

    @AkashSharma-qe3lw

    2 жыл бұрын

    Thanks sir very nice content

  • @DMJ-wx9wq
    @DMJ-wx9wq9 ай бұрын

    He really is a doctor, cause he be saving our btech lives.

  • @shouvikroy3388

    @shouvikroy3388

    5 ай бұрын

    Not only Btech .. also Bsc vai🤍

  • @asthatewari2830
    @asthatewari28302 жыл бұрын

    You are a gem for students preparing through self study.

  • @lighteningbladegaming715

    @lighteningbladegaming715

    2 жыл бұрын

    Yeah he is ☺️

  • @AnubhavExplains

    @AnubhavExplains

    2 жыл бұрын

    Correct 🔥

  • @Rajeevkumar-lm3qb

    @Rajeevkumar-lm3qb

    2 жыл бұрын

    Ofcourse he is a legend

  • @madhavthakur3831

    @madhavthakur3831

    2 жыл бұрын

    Yeah😍😍😍😍😍😍😍😍😍😍😍😍😍😍

  • @Arksds

    @Arksds

    2 жыл бұрын

    Love you astha

  • @pranav3999
    @pranav39992 жыл бұрын

    INCREDIBLE SIR!!!! The method you showed to find eigen vectors is a billion times better than what i learnt in my university! Thank you very much!

  • @moreweknow1383

    @moreweknow1383

    Жыл бұрын

    why has he used normal taking lambda out method for calculating eigen values in q2 and used different method for q 3, i dont understand and if u do q3 by q2 method it gives diff value

  • @julikrishna9722
    @julikrishna97222 жыл бұрын

    Finally I got clear concept about last question after watching your video. Thank you so much sir, your teaching style is superb sir

  • @sunilksingh210
    @sunilksingh2103 жыл бұрын

    From 23:12 ,You can learn how to calculate Eigen vector when you have 2 same values of lambda! Thank You sir for explaining this❤🙏

  • @ShakilDragnus
    @ShakilDragnus2 жыл бұрын

    Thank u very much sir. Bcoz of u i have learnt so many Concepts. My college professor's need to take lessons from you..

  • @AnupKumar-tt3bf
    @AnupKumar-tt3bf3 жыл бұрын

    Die hard fan .....ho gya....aise teacher Ka....Jo actual problem k upr concepts ko smjhane me time dete hai. Na ki simple SA question utha k..time pass.....

  • @Deepak-gp4ln
    @Deepak-gp4ln3 жыл бұрын

    Thank you, sir. For uploading these helpful videos.

  • @INDIAN-uf2nz
    @INDIAN-uf2nz Жыл бұрын

    You're gem 💎 for me on KZread to study mathematics ❤️🙏

  • @prabhatsclasses810
    @prabhatsclasses8104 жыл бұрын

    Thank you sir it is very helpful for me. Beacause I am learning matrix.

  • @saraswatisingh7459
    @saraswatisingh7459 Жыл бұрын

    Thanks &gratitude Sir. Wonderful content

  • @aakritiroshan523
    @aakritiroshan5233 жыл бұрын

    This was very helpful and cleared all my doubts. Thank you very much.

  • @ALL_IN_ONE_862
    @ALL_IN_ONE_8622 жыл бұрын

    What a wonderful concept Thank so much sir

  • @shibaniamchi8809
    @shibaniamchi88092 жыл бұрын

    Eigen values are -3, -3, 5 Eigen vectors for eigen value 5 k( 1, 2, -1) Eigen vectors for eigen value -3 k( 3, 0, 1 ) and k( -2, 1, 0 )

  • @darksoul0046

    @darksoul0046

    Жыл бұрын

    And what's your |A- λI| = ?

  • @engrKinza

    @engrKinza

    Жыл бұрын

    Yes

  • @sudhanshuchauhan8720

    @sudhanshuchauhan8720

    Жыл бұрын

    Correct

  • @rohangupta7791

    @rohangupta7791

    Жыл бұрын

    Correct

  • @bhanugoyal428

    @bhanugoyal428

    Жыл бұрын

    Correct

  • @yashdand7885
    @yashdand78853 жыл бұрын

    This lecture is much better than iit nptel,this method is accurate,easy and quick results we get of eigen vectors.

  • @swatishukla4278

    @swatishukla4278

    3 жыл бұрын

    ,,👍👍👍👍

  • @deekshameghvanshi8609
    @deekshameghvanshi86092 жыл бұрын

    Incredible🔥🔥🔥🔥✌✌ I never thought that i will find a teacher like this for engineering mathematics on yt. Glad i selected this channel✌✌👍👍

  • @anuragithapa6505
    @anuragithapa65053 жыл бұрын

    Your videos are very helpful sir! ❤❤❤❤

  • @tanvesh8330
    @tanvesh83303 жыл бұрын

    You made mathematics Easy for us Gurujiii!!!!

  • @PawanKumar-bo2ho
    @PawanKumar-bo2ho2 жыл бұрын

    Great and to the point explanation

  • @lallawmsangkhawzawl999
    @lallawmsangkhawzawl9993 жыл бұрын

    Even though I don't understand your language , the way u solve really help me , so thank u sir hope u will always upload another

  • @likhithshivaji5173

    @likhithshivaji5173

    3 жыл бұрын

    Turn on caption bro

  • @sarfrazakhtar4979

    @sarfrazakhtar4979

    3 жыл бұрын

    Yes bro his way of explanation and teaching is best

  • @abhinavsubramanian8028

    @abhinavsubramanian8028

    2 жыл бұрын

    @@likhithshivaji5173 Captions usually don't work in his videos.

  • @rythemsharma779
    @rythemsharma7793 жыл бұрын

    Very helpful Sir. Thankyou so much

  • @suchitkumar7835
    @suchitkumar78353 жыл бұрын

    Thank you sir its very helpful.

  • @arunvishwakarma6667
    @arunvishwakarma66673 жыл бұрын

    Thank you very much sir i am in doubt about this last concept but you cleared my concept

  • @gajendrapurohit

    @gajendrapurohit

    3 жыл бұрын

    Welcome 😄 ALL the Best

  • @v.k.mahich7212
    @v.k.mahich72123 жыл бұрын

    you are a grate teacher......thanks for uploding these helpful vedioes☆☆☆

  • @NikitaSandhu-gq6ui
    @NikitaSandhu-gq6ui9 ай бұрын

    Sir , really your way of teaching is meticulous and unique .🎉

  • @naginabashir1857
    @naginabashir18572 жыл бұрын

    Nice video👍 thank you so much sir for this ❤❤❤😊

  • @sonalnayak2566
    @sonalnayak2566 Жыл бұрын

    Thankyou sir very helpful 🙏

  • @btechhosiyar

    @btechhosiyar

    Жыл бұрын

    Hnji

  • @likhithshivaji5173
    @likhithshivaji51733 жыл бұрын

    Alone GP sir is equal to my whole clg faculty... Love you sir❤️❤️❤️❤️

  • @n.s4950

    @n.s4950

    3 ай бұрын

    😂

  • @onlymathematics5012
    @onlymathematics50124 жыл бұрын

    Hello sir very good jobs, please continue.

  • @Aksilentkiller045
    @Aksilentkiller0452 жыл бұрын

    Thanks Sir 🙏 Your video is very helpful for me

  • @muhammadarif3404
    @muhammadarif34043 жыл бұрын

    Slam to you Sir I am from your neibour Pakistan And I Love your method of teaching Salute to You Sir

  • @sunainasingh5338
    @sunainasingh5338 Жыл бұрын

    you are really amazing teacher your teaching style is really very cool crystal and clear thanks sir

  • @fooditems9839
    @fooditems98393 жыл бұрын

    Sir you are genuinely best ❤️❤️

  • @spazerzex5878
    @spazerzex58783 жыл бұрын

    awesome lecture...!!

  • @TanishkaRawat11
    @TanishkaRawat114 жыл бұрын

    Thanks sir es chapter ki bhut jrurt thi bsc 2 year .....

  • @cricketworld4849
    @cricketworld4849 Жыл бұрын

    Helpful!

  • @error-my9ut
    @error-my9ut2 жыл бұрын

    Can you please make a video on how to solve cubic equations quickly???

  • @reetagaba1634
    @reetagaba16343 жыл бұрын

    Great..... Explanation

  • @user-hm7cf3ns2u
    @user-hm7cf3ns2u Жыл бұрын

    Thankyou sir...tomorrow is my exam & you saved me....grateful

  • @7252chem_man
    @7252chem_man3 жыл бұрын

    Aapka कार्य सर्वोत्तम sir💐💐

  • @Krishna10334
    @Krishna103342 жыл бұрын

    Thank you so much sir this video is very helpful for me..

  • @KunalSharma-pq8oe
    @KunalSharma-pq8oe2 жыл бұрын

    Sir in last question if we take X1=0 and X2=k and vice versa than Eigen vectors will be different .so is it right too or we have to takex2=0 and x3=k or vice versa

  • @sujatateli8530
    @sujatateli85303 жыл бұрын

    Sir this type of method for roots is applicable for all equations?

  • @aestheticaman4256
    @aestheticaman42563 жыл бұрын

    Thankyou sir going to pass my exam by watching your videos

  • @INDIA1.
    @INDIA1.2 жыл бұрын

    You are legend... ❤️❤️Thank you very very much ❤️❤️

  • @sandeephambardemathacademy3417
    @sandeephambardemathacademy34173 жыл бұрын

    Really great teaching sir

  • @siomi928
    @siomi9283 жыл бұрын

    Thanq so much sir for your efforts 🙏🙏

  • @SaYanYT10
    @SaYanYT10 Жыл бұрын

    Thank you so much sir!!! ❤️

  • @maruthirompicherla4549
    @maruthirompicherla45495 ай бұрын

    sir you are god of mathematics wonderful teaching sir

  • @vinitapant6911
    @vinitapant69113 жыл бұрын

    Thank you so much sir.. For this helpful video

  • @gajendrapurohit

    @gajendrapurohit

    3 жыл бұрын

    All the best

  • @putulthakur8181
    @putulthakur81813 жыл бұрын

    It is very helpful for me because I learning linear algebra in B. Sc part 3rd

  • @staffselectioncommission2942

    @staffselectioncommission2942

    3 жыл бұрын

    Same here 🙏

  • @vaibhavpatil9813
    @vaibhavpatil98134 жыл бұрын

    Thank u soooo much sir. You have done a best job for students

  • @mrperfectking4031
    @mrperfectking40313 жыл бұрын

    Heartly thanks so much sir

  • @itspossible8013
    @itspossible8013 Жыл бұрын

    It's very helpful... ❤️

  • @krishnadutt3227
    @krishnadutt32273 жыл бұрын

    thankyou sir u are the best🙏🙏

  • @mahimasinha5386
    @mahimasinha53863 жыл бұрын

    Very good explanation Sir.

  • @cutepubg7158
    @cutepubg71583 жыл бұрын

    Help full video thank you sir

  • @soniamehla2901
    @soniamehla29012 жыл бұрын

    Jabardust very easy method Thanku sir 🙏🙏

  • @kishorkunal1944
    @kishorkunal19444 жыл бұрын

    Beautiful maths sir .

  • @himalmagar2880
    @himalmagar28802 жыл бұрын

    Thank you so much sir❣️Watching from Nepal

  • @btechhosiyar
    @btechhosiyar Жыл бұрын

    Your vedio is very useful for us 👍👍

  • @Vaishnavi-dz6ef
    @Vaishnavi-dz6ef Жыл бұрын

    Thank you so much sir for your help

  • @sandeepnitharwal9498
    @sandeepnitharwal9498 Жыл бұрын

    Eigen value are -3;-3;+5 Vector for 5 : 1;2;-1 Vector for -3 : 4;-2;0 Vector for -3 : -6;0;-2

  • @SURVEERSINGHGUGLANI-ye1cc

    @SURVEERSINGHGUGLANI-ye1cc

    5 ай бұрын

    You can cancel third by -3, becomes (3,0,1)

  • @mathsloversjn3453
    @mathsloversjn34533 жыл бұрын

    Thank u so much sir very grateful

  • @minakshipaul4730
    @minakshipaul47302 жыл бұрын

    Really you are great sir❤

  • @tpsicmin
    @tpsicmin2 жыл бұрын

    Nice Explanation

  • @sayalkumar6970
    @sayalkumar69704 жыл бұрын

    Thanks to my dear Sir ji Plz game theory pr bhi vedio bna dijiye

  • @gurkiratkaur4901
    @gurkiratkaur49014 жыл бұрын

    Hello Mr. Purohit, You are the best maths teacher I have ever had..So Sir I appeal you to upload videos for MSC. Mathematics students too. Thank you.

  • @Anas-sf7en
    @Anas-sf7en3 жыл бұрын

    Extremely helpful! Thank you. May Almighty bless you immensely!

  • @sumanverma864
    @sumanverma8643 жыл бұрын

    Eigen value- 5,-3, -3 Eigen vector- For lamba = 5 k(1, 2,-1) For lamba = -3 k(3, 0,1) &k(-2, 1,0) And thank you sir itna acha padhane ke liye ☺

  • @Bidyut_BikashNeog_

    @Bidyut_BikashNeog_

    2 жыл бұрын

    Bro can you share your solution

  • @mayanksinha7612

    @mayanksinha7612

    2 жыл бұрын

    Your solution is wrong . eigen values of this matrix are -3, 1,1. You can confirm it by finding trace of this matrix which comes equal to sum of it's eigen values.

  • @anandsahu1081

    @anandsahu1081

    2 жыл бұрын

    Suman Verma's answer is correct ☺️

  • @yashsharma6206

    @yashsharma6206

    2 жыл бұрын

    @@anandsahu1081 yeh question sir se galat hogya h kyaa??

  • @neerajmodanwal423

    @neerajmodanwal423

    2 жыл бұрын

    Yes it is

  • @ashutoshkumarpandey5307
    @ashutoshkumarpandey53076 ай бұрын

    you are a phenomenal teacher

  • @putulthakur8181
    @putulthakur81813 жыл бұрын

    Thank you so much sir

  • @ektakumari6042
    @ektakumari60423 жыл бұрын

    Thank you so much sir :)

  • @khushbumahajan9359
    @khushbumahajan93596 ай бұрын

    You are great sir thank you for this amazing vedio ❣️

  • @dhiragogoi7518
    @dhiragogoi75183 жыл бұрын

    Sir, you are great

  • @eiq107
    @eiq1072 жыл бұрын

    Eigen. Value : the value of lemda by comes out by solving characteristic equation.

  • @UECHarshaVardhanRavipalli
    @UECHarshaVardhanRavipalli7 ай бұрын

    awesome!

  • @recazamgarh3110
    @recazamgarh31102 жыл бұрын

    Nice explanation sir...

  • @SandeepKumar-gf2nr
    @SandeepKumar-gf2nr5 ай бұрын

    Excellent sir 👍

  • @vartikadubey1843
    @vartikadubey18433 жыл бұрын

    Thank u so much sir for this amazing vedio

  • @er.ketanjha4883

    @er.ketanjha4883

    3 жыл бұрын

    Keep it up 😂😁

  • @yashpandey1428
    @yashpandey14284 жыл бұрын

    sir aap hamesha ek bahut aacha short trick batate hai wo sabse best part vdo. ka lagta hai thanks sir itna badiya padhne k liye

  • @jaishreeramjaibajrangbali
    @jaishreeramjaibajrangbali Жыл бұрын

    Thanks 👍 sir ☺️

  • @shiva_physics_24
    @shiva_physics_244 ай бұрын

    Thank you so much sir 🫶♥️

  • @zubairkhan-pi3wo
    @zubairkhan-pi3wo3 жыл бұрын

    Nice explanation 👌 👍 👏 😀

  • @mettlebeing3111
    @mettlebeing31113 жыл бұрын

    Please update your playlist its not well organized and wastes time but thanks a lot for these quality lectures

  • @profblazepascal8281
    @profblazepascal82812 жыл бұрын

    Very very helpful sir You are god for me 🙏

  • @AlivasCulinary
    @AlivasCulinary2 жыл бұрын

    This vedio helps me a lot

  • @keshavsharma3060
    @keshavsharma30603 жыл бұрын

    thank you sir badiya samaj mein agaya

  • @zareenrizvi6676
    @zareenrizvi66763 жыл бұрын

    Omg what We students do without you ❤️❤️❤️❤️

  • @hitenjadav4882
    @hitenjadav48823 жыл бұрын

    Hello sir Wonderful explanation👍👍

  • @ammayi007
    @ammayi0072 жыл бұрын

    Thank you so much sir ☺️

  • @sakshipanwar6330
    @sakshipanwar6330 Жыл бұрын

    Wow very easy explanation sir🙌

  • @pragyaverma3421
    @pragyaverma3421 Жыл бұрын

    Sir apka padhne k tarika best h or speed m pdhna muje acha lgta h❤

  • @bhupendrachauhan4875
    @bhupendrachauhan4875 Жыл бұрын

    Very helpfull 🙏🙏

  • @MDHanif-bl5bv
    @MDHanif-bl5bv2 жыл бұрын

    This video is so much venifitul for me,Thank you, sir.. I requested you to make a video on power method to find largest eigenvalues of a matrix.

  • @pritichaurashiya3528
    @pritichaurashiya35282 жыл бұрын

    Very helpful video sir

  • @hamzailyas4181
    @hamzailyas41812 жыл бұрын

    Sir what is the shortcut method to find eigenvalues and vector specially for m.cqs

  • @Flash-qr5oh
    @Flash-qr5oh3 жыл бұрын

    Maza hi agya sir ji thank you so much

  • @ritikashukla6790
    @ritikashukla6790 Жыл бұрын

    Thank you soo much sir your videos are really very helpful🙏🙏

  • @arjunshekhawat5376

    @arjunshekhawat5376

    10 ай бұрын

    i can also help you ritika.can i have your insta id