Eigenvalues and Eigenvectors | Properties and Important Result | Matrices

[@gajendrapurohit]

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

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[@trendsong4823]

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[@trendsong4823]

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[@sarkarsubhadipofficial]

❤️

[@praveensingh3688]

Thanks!

[@mettlebeing3111]

These are really helpful but sir please organise the playlist

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Yes sir, so we can prepare in sequence ❤👍

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yes it would be helpful.

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Right 👍👍

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[@kavitajagalpure502]

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]

Are u learning linear algebra in second semester??

[@bhavikbhatt8346]

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

[@ritikasaini4596]

Ok

[@abhinavmaurya_]

@@kavitajagalpure502 Even IIT professor can't teach :)

[@manushgiri8773]

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

[@nileshdhal8668]

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

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Bhai University se jyada earning h sir ka

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

[@the.nayak99]

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

[@anuj.asati18]

Sir your teaching style and explaination is excellence

[@arpitasingh3578]

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 🤗🤗🤗🙏🙏

[@sankhamitra3862]

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

[@Englight897]

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

[@VikkuGoyal]

It is truly incredible explanation sir.

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How he says lamda😂😂😂

[@Top_10_T2]

😂😂

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@@Top_10_T2 😅 lamra

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Aasun 😂

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Lmda

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😂

[@आपकीआवाज-ष1ड]

Sir aap hamare liye Bhagwan ho saale maine Eigen value and Eigen vector ke 20 video dekhe fir bhi samj main nhi aaya........... lekin aap ka ek video dekhane pr hi saara dout clear ho gya wow🙏🙏🙏

[@pravatkusumraul558]

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

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Thanku so much sir Ji 👍👍👍🌹🌹🌹🙏🙏🙏

[@sandeshaithal638]

As always very good content and teaching

[@Krishna_sharma360]

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

[@mahwishiftkhar9348]

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

[@beautifuluttarakhand2093]

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

[@MukeshYadav-vb4bw]

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

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Sir I Love You

[@sakibkhan-wx7et]

Thank you sir, from Bangladesh.

[@MukeshJanwatitaniumeducation]

Spectacular as usual It's a great help for students

[@theinfinity3954]

Life changing sir।

[@ashishprajapati7734]

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

[@MohitSharma-rx1sh]

Very nice Mast class thi I'm happy 😀

[@iitjefheodkedjdkdkdkdksksk]

Sir, your lectures are goldmine even after 4 years. Thanks alot sir for these wonderful organised playlists.

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Thank you sir 😊 your videos are really helpful ❤

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😁❤

[@Radhe._2026_]

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

[@harshpratapsingh1638]

Yeh topic toh bilkul crystal clear ho gaya

[@rishabhbhatt684]

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 . 🙏🙏

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To play back speed lgaeeye

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Thank you sir 😊😊

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Best math professor in india

[@Rakeshkumar-jf4ty]

Outstanding sir 🙏 🙏 🙏

[@aashita6850]

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]

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.

[@uzmakhan2348]

These are really help ful

[@raazkaladhillonuboke4689]

Your teaching is osum

[@vibhorshukla2128]

Thank you sir...superb

[@vardi_lover.]

Sir main pichla 5 din ev padh raha tha muze kuch bhi nahi jamja but apka video dek kar muze bhot Jada help hua thanks sir

[@muhammadhaseeb4714]

throughly halpfull ..thanks you so much sir really appreciated [helped me understanding numerical analysis easily] LOVE from my side😍🙂🙂🙂🙂

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

[@MathematicswithRohit]

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 😊❤

[@raasijoydevarapalli3328]

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

[@SantoshGupta-uw9gv]

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

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thks sir 3 saal pehle graduatiuon mian dekha tha apko ab tgt/pgt ke lie dekh rha Hoon thks sir

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

[@bharat_26.11]

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

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Very nice trick sir please aise hi questions Karen

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That short teick was just awesome ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥 ...... It helps me a lot

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Sir please organize playlist and also give us lectures pdf notes on description

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Hello

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Thankuuh sir ji...🙏

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One of the best teacher 💕

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

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

[@shahinulshakib2009]

Greetings Sir, Can you please provide the lecture notes?

[@pavneshchauhan6587]

Very easy to understand

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Thank you so much sir

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good class

[@nishaverma6333]

Thanku sir for play list...

[@girlfromhimachal712]

A data scientist named M in a company is designing a new prediction algorithm. In one of his problems, he realized that he has to compute eigenvalues of a particular matrix GE Rmxm. Here m is a prime number larger than 27. Assume m> n. On careful observation he observed that G can be written as sum of n matrices G; E Rmxm, i = 1,2,...,n. He also observed that each G₁ can be 4zz where zi e Rm for i=1,2,..., n. It was also observed written as G₁ = z; T that ( (zi, z)=0 where ij) and ((zi, Zi) = 1 for all i = 1, 2, ..., n). (1) A scientist named N claimed that its possible to find only n of the eigen- values of G and that its impossible to know the rest of m-n eigenvalues. (2) Another scientist named K claimed that he can provide all the m eigen- values of G. (3) Another scientist named P claimed that given information is not enough to know about any eigenvalues of G. Which scientist is telling the truth.

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Tq Nepali

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

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No, that would be long

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Nice sir ❤️❤️

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Thank you so much!!!!

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

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sir please upload the videos on real analysis

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Great👍👍

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Sir U are great 🙏🙏🙏

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Thankyou for uploading. This video sir

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

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Shi he bro Mera hi bhai hr tu

[@Master_funooo]

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

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Sir please organise playlists 👏👏

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Sir you are the best!!

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BCA student can be add in your list😂

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Yes 💯

[@psiries291]

Bca aktu ke mathametical foundation syllabus ka koi playlist mil jata to bahut achha hota

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Thanks sir very good

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Thanks you sir jii 🙏

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Great sir

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Sir please make video on opertunity after Bsc CS and MCA

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Thank you so much Sir!! This make my day😀

[@alokdwivedi1854]

Sir pioson, binomial distribution k lecture bna dijiye

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

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Sylvester theorem pr BHI VDO banaiye pls🙏🙏🙏

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लेमड़ा op👌💥

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Sir plz take calsses on statics and dynamic section of BSC maths

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Auur thoda tejj Padhaiye sir bhagg jaiye padhate padhate

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😂😂

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

[@priyankasaharan2397]

​@@osamARI1090 wah 😂👍

[@mrfalcon7943]

Sir How to solve this.... For a given matrix A of order 3, | A |=32 and two of its Eigen values are 8 and 2 find the sum of the Eigen Values.

[@Ritesh_Chauhan_]

product of eigen values = determinant of the matrix, => |A| = 8*2*x 32 = 16x Therefore, x = 2 Hence, sum of eigen values is 12.

[@kirtipurohit1237]

At 15:03 the orthogonal matrix is A-1AT ( inverse* transpose) = Identity matrix

[@samarendragouda8889]

no.. orthogonal matrix means (inverse = transpose) or AA'=I

[@studyonyoutube7768]

Green 💚 Study 👍

[@Deepakmodi1566]

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

[@deveshkumarpareek]

Sir app ke viedo me sir level thoda sa high leke jaiyena taki cucet,bhu,du,hcu ke concept clear ho jaye

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Thank u respected sir i big fan sir i big fan

[@PRATIKMODI2601]

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

[@vanchitayadav]

Kaash sab itne achhe se padhate