Eigenvalues and Eigenvectors | Properties and Important Result | Matrices

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This video lecture of Eigenvalues and Eigenvectors | Properties and Important Result | 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. Important Results and Properties 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 #Properties #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
Eigen values and Eigen vectors
0:00 | An intro
0:18 | Topic introduction
1:12 | Eigen value: Definition
5:08 | Note- Eigen vector: Definition & Example
10:14 | Other Key points
12:17 | Algebraic multiplicity
13:44 | Geometric multiplicity
14:34 | Properties of eigen values & eigen vectors
17:53 | Theorem: Product of eigen value=determinant & Sum of eigen value=trace
22:06 | Question 1
23:25 | Conclusion of video
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Dr.Gajendra Purohit

Пікірлер: 374

  • @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

  • @trendsong4823

    @trendsong4823

    3 жыл бұрын

    sir my humble request with you that plz complete math course of upsc(ias) optional at youtube plateform plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz

  • @trendsong4823

    @trendsong4823

    3 жыл бұрын

    sir my humble request with you that plz complete math course of upsc(ias) optional at youtube plateform plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz

  • @trendsong4823

    @trendsong4823

    3 жыл бұрын

    sir my humble request with you that plz complete math course of upsc(ias) optional at youtube plateform plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz

  • @trendsong4823

    @trendsong4823

    3 жыл бұрын

    sir my humble request with you that plz complete math course of upsc(ias) optional at youtube plateform plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz

  • @subhadipsarkar7692

    @subhadipsarkar7692

    3 жыл бұрын

    ❤️

  • @mettlebeing3111
    @mettlebeing31113 жыл бұрын

    These are really helpful but sir please organise the playlist

  • @nagasai6273

    @nagasai6273

    2 жыл бұрын

    Yes sir, so we can prepare in sequence ❤👍

  • @prazkadariya758

    @prazkadariya758

    2 жыл бұрын

    yes it would be helpful.

  • @ponderr

    @ponderr

    2 жыл бұрын

    Right 👍👍

  • @snehaprajapati3538

    @snehaprajapati3538

    2 жыл бұрын

    Yes sir

  • @ponderr

    @ponderr

    2 жыл бұрын

    @@snehaprajapati3538 hi

  • @Englight897
    @Englight8973 жыл бұрын

    Thank you sir , without this video it was so hard to understand the concepts in colleges😌😁

  • @kavitajagalpure502
    @kavitajagalpure5023 жыл бұрын

    Sir I am student at IIT Hyderabad mechanical engineering in 1st year. I am having linear algebra course. Your vdos are more easy to understand than my professor. Thank you so much for your beautiful explanation.🙏🙏🙏🙏

  • @gurijaladinesh4600

    @gurijaladinesh4600

    3 жыл бұрын

    Are u learning linear algebra in second semester??

  • @bhavikbhatt8346

    @bhavikbhatt8346

    2 жыл бұрын

    Because he will explain in depth. Application. And all. While this sir only teach us to findit

  • @ritikasaini4596

    @ritikasaini4596

    2 жыл бұрын

    Ok

  • @sankhamitra3862
    @sankhamitra38624 жыл бұрын

    Thank you sir for uploading this topic... Spectacular elaboration as usual

  • @manushgiri8773
    @manushgiri87733 жыл бұрын

    Thank you so much sir...u r a hero to engineering students

  • @onlycoding5071
    @onlycoding50712 жыл бұрын

    Sir your teaching style and explaination is excellence

  • @lalitgola3298
    @lalitgola32982 жыл бұрын

    How he says lamda😂😂😂

  • @Top_10_T2

    @Top_10_T2

    3 ай бұрын

    😂😂

  • @baltistanigamer

    @baltistanigamer

    2 ай бұрын

    @@Top_10_T2 😅 lamra

  • @aayushmishra9461

    @aayushmishra9461

    2 ай бұрын

    Aasun 😂

  • @pankajpankaj-re8tq

    @pankajpankaj-re8tq

    Ай бұрын

    Lmda

  • @Ghanshyam882
    @Ghanshyam8824 жыл бұрын

    Pranaam sir,👏👏👏👏 sir bsc ke course pe work karne ke liye thankyou very much.

  • @VikkuGoyal
    @VikkuGoyal2 жыл бұрын

    It is truly incredible explanation sir.

  • @sandeshaithal638
    @sandeshaithal6384 жыл бұрын

    As always very good content and teaching

  • @MukeshYadav-vb4bw
    @MukeshYadav-vb4bw3 жыл бұрын

    Thank you sir because this video is very helpful for me.

  • @pravatkusumraul558
    @pravatkusumraul5582 жыл бұрын

    SIR YOU ARE TEACHING BEAUTIFULLY. bUT AS A TEACHER I CAN FELL YOU ARE HAVING STRESS.PLEASE TAKE REST THEN CONTINUE

  • @shahinulshakib2009
    @shahinulshakib20092 жыл бұрын

    Greetings Sir, Can you please provide the lecture notes?

  • @mahwishiftkhar9348
    @mahwishiftkhar93482 жыл бұрын

    Really very helpful thnq so much sir...!!

  • @YashVardhanGhildiyal
    @YashVardhanGhildiyal2 жыл бұрын

    One year and still hit sir. Thank you for the class

  • @uzmakhan2348
    @uzmakhan23483 жыл бұрын

    These are really help ful

  • @nileshdhal8668
    @nileshdhal86683 жыл бұрын

    sir you r so talented ur way to explain every question is just amazing why r u in youtube plz sir u came our university as a teacher

  • @akhtar976

    @akhtar976

    3 жыл бұрын

    Bhai University se jyada earning h sir ka

  • @nileshdhal8668

    @nileshdhal8668

    3 жыл бұрын

    @@akhtar976 ha bhai samaj zakta lekin sir jo kar rhe bahut acha hai isse sabko help mil rhi 🔥

  • @deenabandhunayak9213

    @deenabandhunayak9213

    3 жыл бұрын

    Sir is God for poor students like me. So sir teach us with out fee.

  • @pnffgaming5195
    @pnffgaming51952 жыл бұрын

    Thanku so much sir. ,, It helps a lot ♥️♥️♥️

  • @MukeshJanwatitaniumeducation
    @MukeshJanwatitaniumeducation4 жыл бұрын

    Spectacular as usual It's a great help for students

  • @devanshkhuradiya
    @devanshkhuradiya4 жыл бұрын

    thank you sir...love you...please continue

  • @Krishna_sharma360
    @Krishna_sharma3603 жыл бұрын

    Sir 🙏.. Thankyou so much . Bhoot hi jayada acha h or sb smja ata h .

  • @yogithapusarla8349
    @yogithapusarla83492 жыл бұрын

    Thank u soo...much sir for making us to understanding concepts very easily..

  • @bharat_26.11

    @bharat_26.11

    2 жыл бұрын

    can you tell me if eigen values vome in decimal what we need to doo

  • @ashishprajapati7734
    @ashishprajapati7734 Жыл бұрын

    people who only want to solve questions on eigen vectors should watch videos of Dr. Gajendra purohit and students who really want to understand what eigen vector means should watch videos of 3blue 1brown . But it is sad that very few students are actually interested in learning concepts of mathematics

  • @user-px9vb2xx2f
    @user-px9vb2xx2f4 жыл бұрын

    Thankuuh sir ji...🙏

  • @beautifuluttarakhand2093
    @beautifuluttarakhand20932 жыл бұрын

    आपके द्वारा पढ़ाया गया बहुत ही अच्छे से समझ में आता है सर

  • @akashchaturvedy2677
    @akashchaturvedy26774 жыл бұрын

    Thankyou for uploading. This video sir

  • @Radhe._2026_
    @Radhe._2026_2 жыл бұрын

    🙏🏻🙏🏻🙏🏻👌👌👌👌👌 Amazing explanation sir ji....

  • @tejeshpandey8229
    @tejeshpandey8229 Жыл бұрын

    Sir you are the best!!

  • @theinfinity3954
    @theinfinity39548 ай бұрын

    Life changing sir।

  • @Rakeshkumar-jf4ty
    @Rakeshkumar-jf4ty Жыл бұрын

    Outstanding sir 🙏 🙏 🙏

  • @praveensingh3688
    @praveensingh36882 жыл бұрын

    Thanks!

  • @pavneshchauhan6587
    @pavneshchauhan65873 жыл бұрын

    Very easy to understand

  • @sravanisiva8414
    @sravanisiva84143 жыл бұрын

    Thank you very much sir 🙏👍

  • @harshpratapsingh1638
    @harshpratapsingh16383 жыл бұрын

    Yeh topic toh bilkul crystal clear ho gaya

  • @vishnuputluru9069
    @vishnuputluru90693 жыл бұрын

    Thank you so much sir

  • @arpitasingh3578
    @arpitasingh35782 жыл бұрын

    Thanku so much sir 🙏🙏 Apse achi maths to koi pdha hi nhi skta h ......sir ap pdhate h, ek baar me sb smjh aa jata h 🤗🤗🤗🙏🙏

  • @umabharti4877
    @umabharti48773 жыл бұрын

    Thank you sir 😊😊

  • @pravakarsahu6517
    @pravakarsahu65172 жыл бұрын

    Sir U are great 🙏🙏🙏

  • @prakharchaube3484
    @prakharchaube34844 жыл бұрын

    sir please upload the videos on real analysis

  • @nishubouddh7187
    @nishubouddh7187 Жыл бұрын

    Thank you so much 🥰

  • @ststudyaim5766
    @ststudyaim57663 жыл бұрын

    Very nice trick sir please aise hi questions Karen

  • @nishaverma6333
    @nishaverma63333 жыл бұрын

    Thanku sir for play list...

  • @vibhorshukla2128
    @vibhorshukla21285 ай бұрын

    Thank you sir...superb

  • @user-dy5rz6ir7l
    @user-dy5rz6ir7l10 ай бұрын

    Sir please organise playlists 👏👏

  • @riturathi6956
    @riturathi6956 Жыл бұрын

    Thanku so much sir Ji 👍👍👍🌹🌹🌹🙏🙏🙏

  • @mihikabhattacharya24
    @mihikabhattacharya24 Жыл бұрын

    Thank you sir 😊 your videos are really helpful ❤

  • @naveedsegments

    @naveedsegments

    11 ай бұрын

    😁❤

  • @geethkuldeep6113
    @geethkuldeep61133 жыл бұрын

    Thank you so much!!!!

  • @muskaanmalik6681
    @muskaanmalik66813 жыл бұрын

    Thank you sir

  • @GAMIDATA
    @GAMIDATA3 жыл бұрын

    Very much useful during my exam time thank you sir

  • @monicasgallery3924
    @monicasgallery392410 ай бұрын

    Best lecture sir❤️❤️

  • @imam5868
    @imam58682 жыл бұрын

    Sir may you please explain everything about CAT 🙏🙏

  • @bishaliitroorkee
    @bishaliitroorkee4 жыл бұрын

    Sir if possible take a special class on weak , strong minimum and maximum in COV . (Please sir)

  • @jaishreeramjaibajrangbali
    @jaishreeramjaibajrangbali Жыл бұрын

    Thanks 👍 sir ☺️😊

  • @raghunathsingh3560
    @raghunathsingh35603 жыл бұрын

    Sir introduce concept during question like previously you do in your normal board videos

  • @Dignified245

    @Dignified245

    2 жыл бұрын

    No, that would be long

  • @MohitSharma-rx1sh
    @MohitSharma-rx1sh3 жыл бұрын

    Very nice Mast class thi I'm happy 😀

  • @pragatimishra302
    @pragatimishra302 Жыл бұрын

    Thanku so much sir

  • @shalu4839
    @shalu48394 жыл бұрын

    Great👍👍

  • @pushukumar7246
    @pushukumar72463 жыл бұрын

    Thank u sir ...ur video is always very very helpful

  • @vaishnaveethakare7569
    @vaishnaveethakare75694 жыл бұрын

    Sylvester theorem pr BHI VDO banaiye pls🙏🙏🙏

  • @aniruddhapatra9035
    @aniruddhapatra90352 жыл бұрын

    Thanks sir .

  • @raazkaladhillonuboke4689
    @raazkaladhillonuboke46892 жыл бұрын

    Your teaching is osum

  • @sakibkhan-wx7et
    @sakibkhan-wx7et2 жыл бұрын

    Thank you sir, from Bangladesh.

  • @heybose4460
    @heybose44606 ай бұрын

    I heard lamra everytime insted of lamda😂

  • @Rp63888
    @Rp638882 жыл бұрын

    Nice class sir 🙏🙏🙏🙏

  • @Deepakmodi1566
    @Deepakmodi1566Ай бұрын

    Sir topic ka kachra bhot ache s krte ho ap.. isi reason s apka paid batch nahi lete ki ase he udrbpdgte honge to paisa brbd hojyega

  • @samimaaktar8306
    @samimaaktar83063 жыл бұрын

    Tnks sr !!!!!!!!

  • @govindjangid6201
    @govindjangid62012 жыл бұрын

    Thanks you sir jii 🙏

  • @LavisharmaStudyCentre
    @LavisharmaStudyCentre4 жыл бұрын

    Very nice sir ji

  • @EduMaths_pi
    @EduMaths_pi3 жыл бұрын

    Thanku sir 🙏

  • @AnkitKumar-cb2ld
    @AnkitKumar-cb2ld3 жыл бұрын

    Thank u respected sir i big fan sir i big fan

  • @pricemindset3624
    @pricemindset3624 Жыл бұрын

    Sir can I writer this in my mathematics physics exam sir please reply

  • @aneelakousar5571
    @aneelakousar55712 жыл бұрын

    Thanks sir g 😊

  • @rajanabeelahmed1122
    @rajanabeelahmed11223 жыл бұрын

    Nice. Sir love you iam from pakistan

  • @relaxmind8161
    @relaxmind81612 ай бұрын

    Sir ki padhane ki speed..📈 phir bhi meri aadat:- 1.25×, 1.50×, 2×..😅

  • @MathematicswithRohit

    @MathematicswithRohit

    2 ай бұрын

    Hello Students you can watch my Linear Algebra Playlist if you are not able to understand here. Please visit once and see and subscribe if you like the videos 😊❤

  • @turkishdrama513
    @turkishdrama5132 жыл бұрын

    Great sir

  • @vanshgupta2019
    @vanshgupta20193 жыл бұрын

    Thank you so much sir❤️

  • @aashita6850
    @aashita68503 жыл бұрын

    At 9:24 When R2->R2-R1 shouldn't it be x2-x1 in R2? if we are applying an operation it should be applied overall na?

  • @SantoshGupta-uw9gv

    @SantoshGupta-uw9gv

    2 жыл бұрын

    No no the operation which we are applying are only applied on the matrix beside X and on the right hand side, that are not applied on the variable (i.e. on matrix X) this is the rule.

  • @minharulislam405
    @minharulislam405 Жыл бұрын

    Best math professor in india

  • @kishunkumarsah1238
    @kishunkumarsah12384 жыл бұрын

    Thanks for your great Lecture, Hajur

  • @kamendrakaushal5076

    @kamendrakaushal5076

    4 жыл бұрын

    Tq Nepali

  • @gyanaranjanpatra8125
    @gyanaranjanpatra8125 Жыл бұрын

    BCA student can be add in your list😂

  • @shubhamkumargupta3478
    @shubhamkumargupta34783 жыл бұрын

    One of the best teacher 💕

  • @drmohdkazim254
    @drmohdkazim2544 жыл бұрын

    Sir your way of teaching is superb plz make a video on diagonalization of matrix

  • @homegmail8845
    @homegmail88453 жыл бұрын

    Sir transmission hota h ya transformation ,more confusion creates,24:21 pe .

  • @khumendrasahu1839
    @khumendrasahu18392 жыл бұрын

    Sir please make video on opertunity after Bsc CS and MCA

  • @sandhyapatel220
    @sandhyapatel2204 жыл бұрын

    Thanks sr

  • @blackgam9870
    @blackgam98702 жыл бұрын

    Sir you teach well but sometimes you tell many things in opposite way For example you said non-homogeneous instead of homogenous So we get confused weather its correct or not Please improve it sir

  • @Audiyonn557
    @Audiyonn5572 жыл бұрын

    Sir you are great please reply

  • @radha-j1v
    @radha-j1v3 ай бұрын

    Auur thoda tejj Padhaiye sir bhagg jaiye padhate padhate

  • @vaishnavisomvanshi3997

    @vaishnavisomvanshi3997

    2 ай бұрын

    😂😂

  • @osamARI1090

    @osamARI1090

    2 ай бұрын

    Mai to 1.5x mai dekh raha vai 🥹 subha exam h

  • @priyankasaharan2397

    @priyankasaharan2397

    15 күн бұрын

    ​@@osamARI1090 wah 😂👍

  • @PRATIKMODI2601
    @PRATIKMODI26013 жыл бұрын

    Sir matrix jeva bija upload karo ne fourier series and pde. You have upload but in blackboard u have solve plz solved in this method like matrix video done in computer board

  • @rishabhbhatt684
    @rishabhbhatt6843 жыл бұрын

    Sir 🙏.. Thankyou so much . Bhoot hi jayada acha h or sb smja ata h . But sir bs aap bolte bhot fast h thoda dhere sir . Baki sir 🙏🙏 bhoot hi ache se aajata h . 🙏🙏

  • @homegmail8845

    @homegmail8845

    3 жыл бұрын

    To play back speed lgaeeye

  • @jatindrajuad2227
    @jatindrajuad22274 жыл бұрын

    Sir our educational policy is changed. 🤟

  • @alokdwivedi1854
    @alokdwivedi18542 жыл бұрын

    Sir pioson, binomial distribution k lecture bna dijiye

  • @MdIrfankhan-mv4xh
    @MdIrfankhan-mv4xh25 күн бұрын

    Thanks ❤ sir

  • @VikasKumar-qn3ny
    @VikasKumar-qn3ny3 жыл бұрын

    Thank❤️sir

  • @fooditems9839
    @fooditems98393 жыл бұрын

    Nice sir ❤️❤️

  • @ShivaniSingh-sk3ze
    @ShivaniSingh-sk3ze3 жыл бұрын

    Sir plz dynamics kra dijiye

  • @habeebaunissa1754
    @habeebaunissa17543 жыл бұрын

    Sir problem ka thumbnail lagaya kariye plz it will be easy for us

  • @Master_funooo
    @Master_funooo2 ай бұрын

    It's 11:53 pm, Tomorrow is my mathematics exam and this is the first time learning this topic

  • @raasijoydevarapalli3328
    @raasijoydevarapalli33283 жыл бұрын

    Thank u sir for good explanation but small request is can u explain slowly sir

  • @SantoshGupta-uw9gv

    @SantoshGupta-uw9gv

    2 жыл бұрын

    u can watch it on 0.5x or 0.75x as u wish like i am watching it in 2x speed