Maine ye aakash ke module mein sirk ek kisi example mein xe rkha tha aur mujhe ye tareeka itna acha laga ki main abb har questions isi method se karta hun aur questions ban bhi jate hain wo bhi jaldi
Yeah ur method was quite intuitive and i somehow knew that u will be sharing this approach only , so i tried using binomial I also found a pattern 😁 Answer to hw question:- 3⁵⁰+1
Pattern method is deliberately rejected in this video. Because we wanted to discuss binomial concept. Also it's not about trace. What if he asked the sum of all elements?
Video suggestion: 1)Calay hamilton , eigen value / vector based on whcih 3-4 pyqs can be solved very quickly 2)property based Conic questions (JA) like the 2022 adv one
Sir, this can be solved orally. Trace is sum of eigen values. If a is an eigen value of matrix A, then a^k is eigen value of A^k. Since this is upper triangular matrix, diagonal elements are eigen values. Eigen values of A are 3 and 1. Therefore, eigen values of A^10 are 3^10 and 1. Therefore trace of A^10 is 3^10 + 1.
It's not about the trace. I used the trace just as an example. What about if we have to find the sum of all elements? It's not about this particular question. 😊
@@ashutoshshukla207 Exactly. So the point of this video as said in thumbnail is not "How to find trace?". It's "How to analyse big powers of a matrix?"
@@mekohai4458 paagal hai kya iitjee 1995 me bhi tha 2014 me dekh waha pe bhi tha aur koi naya sawal nahi hai mai anshul sir se hi plus pe padhta hu unhone bhi 2021 aur 2022 me ye padhaya tha.
Yes sir cayley hamilton is very much needed take a detalied session on it if possible
Sir Continuity and Differentiability ke achhe results ko lekar ek video laiye plz
Bilkul. Aap video share kijiye. Channel ko thoda support dijiye. Hum ek din mein more videos banayenge.
Yes i have already thought of this method by myself..its really intutive for good aspirant
Wow realy sir bhot acha kr rhe hai ..app aese hi video late rhiyega sir pls ..😊
Thanks Anup ji. Aap share karenge to humare channel ko fayda hoga and hum saare subjects ke teachers bhi laa paayenge.
knew this approach earlier revise ho gya...Thanx sir
Video share kar do, humare channel ko help hogi.
@@anshul8330 kr diya hu sir... Gud content must be supported
Yes Sir pata tha yeh 🎉 FIITJEE me hamare teacher ne bataya hai ❤
Superb!
Sure, video share kar do, humare channel ko help hogi.
I am also in fiitjee
sir hw ans-->3^50+1
Maine ye aakash ke module mein sirk ek kisi example mein xe rkha tha aur mujhe ye tareeka itna acha laga ki main abb har questions isi method se karta hun aur questions ban bhi jate hain wo bhi jaldi
Bahut badhiya!
Aap cayley hamilton waale method ko bhi achhe se karke jana.
Video pasand aaye to pls share with others.
Yeah ur method was quite intuitive and i somehow knew that u will be sharing this approach only , so i tried using binomial
I also found a pattern 😁
Answer to hw question:- 3⁵⁰+1
galat hai aapka most probably 3^10 + 1
Bhai sahi hai pehle bale ka 310+1
Sir pattern to ha diagonal elements zero or 3 ke powers ha
Great thought sir
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1+3power50
Correct
Please share this video to help our channel. 🎉
Sir, It is easy when you see a pattern in the trace of the matrix rather than using binomial.
Pattern method is deliberately rejected in this video. Because we wanted to discuss binomial concept.
Also it's not about trace.
What if he asked the sum of all elements?
Video suggestion:
1)Calay hamilton , eigen value / vector based on whcih 3-4 pyqs can be solved very quickly
2)property based Conic questions (JA) like the 2022 adv one
Nice suggestions. Both of them.
Bilkul. Aap video share kijiye. Channel ko thoda support dijiye. Hum ek din mein more videos banayenge.
Yes sir please in topics par video laiye@@anshul8330
If you dont mind sir can you bring a session for trigo identities for jan attempt
Plzzz❤
Much needed ..🙏
Sure, video share kar do, humare channel ko help hogi.
@anshul8330 ok sure sir..
Please bring a video on beta and gamma function and their application in PYQs of mains and advance
Sure.
Please share this video to help our channel. 🎉
Sir ans is 3 ^50 +1
🎉 Please share the video with others.
cengage mein similar question tha sir with same approach
Haan... Important approach hai.
Pls share the video with others.
Hw problem answer:
3^50+1
Did it with concept of eigen values
That's cayley hamilton theorem.
Yes sir
@@anshul8330 ek hii hota hai sir
@@shivx3295 Mein bhi to wahi keh raha hun...
sir ek request hai limits mein series expansion kaise use karte hai pls ek baar batado🙏🙏🙏
Bhai woh itna easy hai ki uske upar video kaise banau? Log bolenge kya simple cheez hai...
Maybe simple concepts ke liye bhi series laata hun
@@anshul8330 nahi rehne do then ill manage...
Sir unacademy me hu aapse smart board pe padhna chahta hu kaha padh skta hu? Plz reply sir
Haan, kya dikkat hai. Mein ek do batch laa Raha hun...and YT par to padhaunga hi
1 line ka hai answer using characterstic eqn
Great
Bhai bta skta h kaise kiya .
Sir, this can be solved orally.
Trace is sum of eigen values.
If a is an eigen value of matrix A, then a^k is eigen value of A^k.
Since this is upper triangular matrix, diagonal elements are eigen values.
Eigen values of A are 3 and 1.
Therefore, eigen values of A^10 are 3^10 and 1.
Therefore trace of A^10 is 3^10 + 1.
It's not about the trace. I used the trace just as an example. What about if we have to find the sum of all elements?
It's not about this particular question. 😊
This logic will only work for trace and determinant. But, determinant is straightforward. Det(A^10) = det(A)^10.
Otherwise this will not work.
@@ashutoshshukla207 Exactly. So the point of this video as said in thumbnail is not "How to find trace?". It's "How to analyse big powers of a matrix?"
Ans 3^50+1 hainkya sirji , usko break kia 2I + 01
10 isko b leliya b²=I aa gya
Sure, video share kar do, humare channel ko help hogi.
Homework question
Answer is 3⁵⁰+1
🎉perfect. Pls share the video.
sir telescoping par ek video please sir
Okay.
Please share the video with others.
sir ap bhot phele pace me the kya?
Haan, kyun?
Please share this video to help our channel. 🎉
@@anshul8330 aapse kabhi personally nahi padh paya lekin 2022 tak mere dost apki bhot tareef karte the , ig you were at unacad then
@@con3butr2the3ntropy Happy to contribute!
Do check out our other videos as well. :)
Jee advanced 2022 me bhi ek sawal tha but wo to kafi easy tha
Gadhe...wo easy tha kyuki uss question ke baad hi ye saab higher power matrix solving tricks developed hua hai....😂😂
Anshul sir ne 2022 advanced se pehle hi karaya tha mai uss class mai tha. @@mekohai4458
@@mekohai4458 paagal hai kya iitjee 1995 me bhi tha 2014 me dekh waha pe bhi tha aur koi naya sawal nahi hai mai anshul sir se hi plus pe padhta hu unhone bhi 2021 aur 2022 me ye padhaya tha.
Unacademy se@@RajeevNayanPal
@@RajeevNayanPal ooh my bad
Sum of the eigen value s give tr(A😊
Sir....at 9:21 ....how did you directly calculate 3^10?
padhai kar jake binomial
@@Soulofindia111 bhai tumhe nhi chamka kya? Binomial hai wo ek thik se dekho , 2 aur 1