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
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
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.
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.....
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)
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
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 ☺️
Sir question no. 3rd mei jo last mei aap ne X2 = 0 nd X3 = k le kar chale hai and vice versa vo kis basis par ?? Nd jin mei repeatitive Eigen values nhi bhi hoti uss mei bhi let kar k chalte hai hum why ??
Noproblem sir this trick I understood but when I just tried to find out the Eigen value into matrix multiplication then we can't determine the value of Eigen vector please sir reply 🙏🙏🙏🙏
SIR Question One apki characteristic equation wali trick se nhi solve hoga, Sign ka convention usme alag hai to uss tricc se +L^3 + 18L^2 - 45L aa rha hai
In what order we should arrange eigenvectors for eigenvalues 0,3,15 in matrix( whether we should start from 0 placing eigenvectors of 0 in first column then 3 then 5)?
Sir, apne to bola tha ki agar sum of each row equal hoga to uske ek Eigen value uuo hoga or uske corresponding Eigen vector k(1,1,1) hoga. Hometask bala question pe her row ka sum (-3) ho raha hai aur Eigen value bhi (-3) ho raha hai. Etna tak thik tha per uske corresponding Eigen vector to k(1,1,1) nehi aa raha hai.🤔
Hello sir..M Ritika Roy....i have seened your maximum vdo.....when i have obstacle in maths ....really it helped me a lot......i can't forget all these tricks.......you are doing very sir.....please keep helping us .......for our great future......you are awesome teacher......thank you sir...and pls give me the watsapp link sir
Jo sir ne question diya tha solve krne k liye... Jiska ho gya to plz send... Plz eigen values nd eigen vector kya aaya h... Bta do...reply plz... Guys..
Thank you so so so much sir ....... Words are not enough to express my happiness . Now I started enjoying math so much . Thanks a ton . Plz plz do much more video like this on higher mathematics and also GATE , I'm a gate aspirant and ur videos will fetch me full marks I feel .
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5. Complex Analysis : bit.ly/2OP8hGp
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Thanks
Dr.Gajendra Purohit
Thankyou sir🙏🙏
tq sir
a.o.a
sir dual space and its properties
Thanks sir very nice content
You are a gem for students preparing through self study.
Yeah he is ☺️
Correct 🔥
Ofcourse he is a legend
Yeah😍😍😍😍😍😍😍😍😍😍😍😍😍😍
Love you astha
He really is a doctor, cause he be saving our btech lives.
Not only Btech .. also Bsc vai🤍
Bro bca also
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!
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
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❤🙏
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 ☺
Bro can you share your solution
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.
Suman Verma's answer is correct ☺️
@@anandsahu1081 yeh question sir se galat hogya h kyaa??
Yes it is
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 )
And what's your |A- λI| = ?
Yes
Correct
Correct
Correct
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)
Eigen values are -3,-3,5 and vectors are
k [ 1 -2 -1 ] , k [3 0 1 ]. k [-2 1 0 ].
@@Govtexam-prep bhai tera galat hai 1st vector
✅✅
Sahi h mera v same aa raha h
@@Govtexam-prep thanks humne upar wala reply dekha to hume laga mera glt h bhut der se pareshan the
This lecture is much better than iit nptel,this method is accurate,easy and quick results we get of eigen vectors.
,,👍👍👍👍
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
Turn on caption bro
Yes bro his way of explanation and teaching is best
@@likhithshivaji5173 Captions usually don't work in his videos.
Finally I got clear concept about last question after watching your video. Thank you so much sir, your teaching style is superb sir
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.....
Incredible🔥🔥🔥🔥✌✌
I never thought that i will find a teacher like this for engineering mathematics on yt.
Glad i selected this channel✌✌👍👍
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.
Alone GP sir is equal to my whole clg faculty... Love you sir❤️❤️❤️❤️
😂
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)
Slam to you Sir I am from your neibour Pakistan And I Love your method of teaching
Salute to You Sir
Eigenvalue = 5 and eigenvector ={1,2,-1}
For eigenvalue = 3 eigenvectors are { 3,0,1} and { -2, 1,0 }
Please update your playlist its not well organized and wastes time but thanks a lot for these quality lectures
Thank you very much sir i am in doubt about this last concept but you cleared my concept
Welcome 😄 ALL the Best
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
sir you are god of mathematics wonderful teaching sir
Eigen value are -3;-3;+5
Vector for 5 : 1;2;-1
Vector for -3 : 4;-2;0
Vector for -3 : -6;0;-2
You can cancel third by -3, becomes (3,0,1)
What was your cubic equation?
Thank u very much sir. Bcoz of u i have learnt so many Concepts. My college professor's need to take lessons from you..
Sir please reply me using your method to find eigen vector is Applicable to all the questions or not???
Thankyou sir very helpful 🙏
Hnji
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)
I can't solve this problem having difficulties in finding eigen values
Sir apka padhne k tarika best h or speed m pdhna muje acha lgta h❤
Can you please make a video on how to solve cubic equations quickly???
you are really amazing teacher
your teaching style is really very cool crystal and clear
thanks sir
Thankyou sir...tomorrow is my exam & you saved me....grateful
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 ☺️
Crossponding to 5 eigen vectors apke wrong hai.
@@dheerajjoshi6266 what should be that then?
@@kirtisonawane1832 [1 2 -1]
This was very helpful and cleared all my doubts. Thank you very much.
Eigen values are -3, -3, 5.
Eigen vectors are (-2, 1,0) (3, 0,1) (1, 2,-1).
Sir plz will give me response this is correct or not.
What is your |A-λI|=?
It is very helpful for me because I learning linear algebra in B. Sc part 3rd
Same here 🙏
Thank you sir it is very helpful for me. Beacause I am learning matrix.
Fantastic sir , superb 👌 , kya padhate hai aap gjb ka ekdam
Can we apply coloumn transformation while finding eigen vectors
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..
Sir corresponding eigen vectors or eigen vectors alg alg hote hai kya?? Plz tell me sir
Sir , really your way of teaching is meticulous and unique .🎉
Thanks to my dear Sir ji
Plz game theory pr bhi vedio bna dijiye
Extremely helpful! Thank you.
May Almighty bless you immensely!
Sir question no. 3rd mei jo last mei aap ne X2 = 0 nd X3 = k le kar chale hai and vice versa vo kis basis par ?? Nd jin mei repeatitive Eigen values nhi bhi hoti uss mei bhi let kar k chalte hai hum why ??
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]
What is the value of last determinant
How
@@amritathakur2036 i have solved this question in my notebook
@@OfficialInfoHub send me pls
Sir why I can't consider L=-3,1,1 as per trick used in previous question ❓, although sum of horizontal digits in each row are -3.
Sir can we take?
Sahi
Sir isme hum x1 ko 0 put ni kr skte hai kya or X2= k and find value of X3?.
Jabardust very easy method
Thanku sir 🙏🙏
Sir X1,X2 and X3 all have zero value please tell me sir if we we start expanding from equ.3 then vectors value changed
yes its upto you because there is finite eigen vactors can be formed in the solution
Noproblem sir this trick I understood but when I just tried to find out the Eigen value into matrix multiplication then we can't determine the value of Eigen vector please sir reply 🙏🙏🙏🙏
SIR Question One apki characteristic equation wali trick se nhi solve hoga, Sign ka convention usme alag hai to uss tricc se +L^3 + 18L^2 - 45L aa rha hai
Sir this type of method for roots is applicable for all equations?
Sir row sum is -3,and one eigen vector corresponding to -3 is (1,1,1).Is it true in this problem
In what order we should arrange eigenvectors for eigenvalues 0,3,15 in matrix( whether we should start from 0 placing eigenvectors of 0 in first column then 3 then 5)?
Yes
@@nehagupta8040 can you elaborate what you agreed on?
Digonalizable matrix video dhekho sir ka
@@nehagupta8040 okay ty
Is your doubt cleared or not?
Sir, apne to bola tha ki agar sum of each row equal hoga to uske ek Eigen value uuo hoga or uske corresponding Eigen vector k(1,1,1) hoga.
Hometask bala question pe her row ka sum (-3) ho raha hai aur Eigen value bhi (-3) ho raha hai. Etna tak thik tha per uske corresponding Eigen vector to k(1,1,1) nehi aa raha hai.🤔
Eigen values are -3,-3,5 and vectors are
for eigen value 5 k [ 1 -2 -1 ] ,
for eigen value -3,-3
k [3 0 1 ]. k [-2 1 0 ].
Meri ni aa ri ye eigen value
Nice explanation sir...
Thank you so much sir❣️Watching from Nepal
Nice Explanation
Thankyou sir going to pass my exam by watching your videos
Sir is this topic comes in ias maths syallubus
Can we get different eigen vectors by repeated eigen value
When lambda = 5 then eigen vectors corresponding to this given matrix is
{1 2 -1}
Great and to the point explanation
Thanks a lot sr. You helped a lot tommorow is my exam thanks you sr.
Great..... Explanation
At question 4
There are values of lemda -3 , -3 , 5
And eigen vectors
are ( 1 2 -1 ) , ( -2 1 0 ) , ( 3 0 1 )
How bro
Hello sir..M Ritika Roy....i have seened your maximum vdo.....when i have obstacle in maths ....really it helped me a lot......i can't forget all these tricks.......you are doing very sir.....please keep helping us .......for our great future......you are awesome teacher......thank you sir...and pls give me the watsapp link sir
Helpful!
You're gem 💎 for me on RUclips to study mathematics ❤️🙏
Nice explanation 👌 👍 👏 😀
sir aapse pad ke asia feel ho raha hai ki me bhi Mathematic me PHD kr lu.. great explanation sir. thanks for clear my concept.
Really great teaching sir
Sir isme humko eigen vectors ko normalize bhi karna hai kya? Because answer k ki form me hai
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
Thanks &gratitude Sir. Wonderful content
SIR
KYA UPSC OPTIONAL BHI KARATE HAI .
Excellent sir 👍
You made mathematics Easy for us Gurujiii!!!!
Thank you very very much sir
Sir you are genuinely best ❤️❤️
Very helpful video sir
कमाल गुरुजी ❤️❤️❤️
Jo sir ne question diya tha solve krne k liye... Jiska ho gya to plz send... Plz eigen values nd eigen vector kya aaya h... Bta do...reply plz... Guys..
Nice video👍 thank you so much sir for this ❤❤❤😊
Sir what is the shortcut method to find eigenvalues and vector specially for m.cqs
Sir jaise aapne eigen vectors nikale hai waisa maine class me kiya tha toh sir ne bola it's not allowed in AKTU?
kya kare aap hi bataiye sir
Thanks 👍 sir ☺️
Thanks Sir 🙏
Your video is very helpful for me
Your videos are very helpful sir! ❤❤❤❤
SIR FOR Eigen Vector if
(A-√I)X=0
1 1 -3
0 -4 8
0 0 0
How we will be able to find x1,x2,x3
Without using trick
Thank you so so so much sir ....... Words are not enough to express my happiness . Now I started enjoying math so much . Thanks a ton . Plz plz do much more video like this on higher mathematics and also GATE , I'm a gate aspirant and ur videos will fetch me full marks I feel .
Thank u so much sir very grateful
If we find eigen vector from RREF or from crammers rule why the answer is different and doing by crammers rule is valid or not?
Very good video n content
awesome!
Thank you so much sir......☺️🙏
Sir which topic should i start after reading abstract algebra? Plz tell me
Sir can you please make videos on graph theory
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.
Thank you so much sir this video is very helpful for me..