Eigenvalues and Eigenvectors | Eigen Values Examples | Eigen Vectors Examples

[@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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Thankyou sir🙏🙏

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a.o.a

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sir dual space and its properties

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[@Arksds]

Love you astha

[@pranav3999]

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]

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

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Bro bca also

[@sunilksingh210]

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❤🙏

[@sumanverma864]

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_]

Bro can you share your solution

[@mayanksinha7612]

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]

Suman Verma's answer is correct ☺️

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

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Yes it is

[@yashdand7885]

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

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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.....

[@ABHISHEKKUMAR-ut2te]

Eigen values of the matrix =5,-3,-3 Eigen vectors for -3 k (3,0,1)&k (-2,1,0) Eigen vector for 5 k (1,2,-1)

[@PreparewithSuman]

Eigen values are -3,-3,5 and vectors are k [ 1 -2 -1 ] , k [3 0 1 ]. k [-2 1 0 ].

[@kailash._11.]

@@PreparewithSuman bhai tera galat hai 1st vector

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Sahi h mera v same aa raha h

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[@SatyamSharmabcebgp]

Sir last question ka answer eigen values are ( -3,-3,5) and the corresponding eigen vector for the eigen value 5 is (1,2 ,-1) and for -3 is (3,0,1) and (-2,1,0)

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😂

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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

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Turn on caption bro

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

[@Hitesh-q5b]

But in the homework question it's one eigen value is -3 which is equal to the sum of elements of rows separately. But the eigen vector is not 1,1,1 as you said at 23:18

[@sandeepnitharwal9498]

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]

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

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What was your cubic equation?

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[@neelamsaini7602]

eigen value of this matrix 5,-3,-3 eigen vector for 5 is k(1,2,-1) and eigen vector for -3 is k(-2,1,0) and k(3,0,1)

[@akshataraj6444]

I can't solve this problem having difficulties in finding eigen values

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

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[@riteshpandey8586]

Eigenvalue = 5 and eigenvector ={1,2,-1} For eigenvalue = 3 eigenvectors are { 3,0,1} and { -2, 1,0 }

[@natureshotz7527]

Can u pls tell after getting the lambda eqn how did u solve to get -3 and 5

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

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Jabardust very easy method Thanku sir 🙏🙏

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

[@OfficialInfoHub]

Eigen values of last matrix are -3,-3,+5 And Eigen vector For Lemda = -3 [3,0,1], [-2,1,0],[1,2,-1] & Lemda = 5 [1,2,-1]

[@deditz_xt5294]

What is the value of last determinant

[@amritathakur2036]

How

[@OfficialInfoHub]

@@amritathakur2036 i have solved this question in my notebook

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Nice explanation 👌 👍 👏 😀

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

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[@kirtisonawane1832]

Eign values are 5,-3 & -3 For -3,eign vectors are [3 0 1] and [ -2 1 0] For 5,eign vectors are [2 1 2]. All the tricks which u told are really amazing sir .thank you so much ☺️

[@dheerajjoshi6266]

Crossponding to 5 eigen vectors apke wrong hai.

[@kirtisonawane1832]

@@dheerajjoshi6266 what should be that then?

[@dheerajjoshi6266]

@@kirtisonawane1832 [1 2 -1]

[@KunalSharma-pq8oe]

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

[@mcreativeallrounder2422]

Sir just want to ask in q 3 25:05 you have use x2 and x 3 can we use x1 instead of x2 or x3 ?? Simple question But please answer Please reply..

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Aapka कार्य सर्वोत्तम sir💐💐

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

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

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Great and to the point explanation

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Nice explanation sir...

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[@tamannaghanghas1419]

Eigen values =-3, -3, 5 Eigen vector for -3 K(3, 0,1) & k(-2, 1,0) Eigen vector for 5 K(1, 2,1)

[@ABHISHEKKUMAR-ut2te]

Tamanna ghanghas For 5 k (1,2,-1)

[@tamannaghanghas1419]

@@ABHISHEKKUMAR-ut2te hnji sir thank you for reply me... 😇

[@PreparewithSuman]

Eigen values are -3,-3,5 and vectors are k [ 1 -2 -1 ] , k [3 0 1 ]. k [-2 1 0 ].

[@kasukurthisathwik4164]

For lambda=5 eigenvalues vectors are 1,2 and '-1 '

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[@PritamYT-iy9ko]

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

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-a^3-a^2+21a+45 where a is lamda

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Very good video n content

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Very helpful Sir. Thankyou so much

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

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Helpful!

[@anandkumarnitrourkela7404]

When lambda = 5 then eigen vectors corresponding to this given matrix is {1 2 -1}

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It's very helpful... ❤️

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sir u r great .....