5. Similar Matrices

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Similar Matrices
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*similar matrices have:
1)same determinant
2)same eigenvalues
3)same rank
*there is no such unique matrix which is similar to A, there can be multiple.
defn:- 7:45
*things in concern with B
1) det should be same as A
2)trace should be same as A
3)should satisfy PAP^-1
18:40,

sleepypanda
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Thank you ma'am. I am in my 2nd year of college and I was finding difficulty in understanding the concepts of Linear Algebra. I have end-sems in few days, and after watching your videos I feel confident. It's difficult to find such hard working teachers.

kavangondalia
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GATE 2023, a question came from same topic and with this perfect explanation anybody could have got 2 marks.

Amansingh-nlev
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Mam, my mother tongue is Tamil and I don't know Hindi but you're all explanation I am easily understood, thank you mam, my all questions here it's cleared.

prabakart
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It's easy to find B for 2*2 .. Bt for 3*3 ?

divyasharma
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P inverse p lagakar check karna ka kya jarurat hai wahi to p aur p inverse cut jyega aur jo B matrix hai wo agar A ki tarah same na dikhe to non similar

Sidha sidha bol diya jay A mat ko B ki same to same dikhna chaiye agar nehi dikha to non similar. determinant, eigenvalue, rank wo sab same ho jay tabhi bhi b isequalto p inverse A p hona chahiye nehi to similar nehi bola jyega.


Answer plzz ma'am or anyone 🙏🙏

sanitmajumder
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Awesome lectures and playlist
Please mam make a playlist on rank of matrix with prove of all properties of rank of matrix
Because your videos are genuinely help us to learn higher mathematics content

Rahul.G.Paikaray
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You're so amazing at teaching ma'am! It was very helpful. Thank you so much :D

praptisalaskar
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How you choose a invertible matrix P any random?

SRajagopalrajagopal
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20:17 Mam, here why did you multiplied P(inverse) and not P?
coz in just the above proof you multiplied P...

swayampattanaik
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Thank you mam, this was an awesome explanation and absolutely helpful. Keep making videos. You got a new subscriber!

barneyy
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Thank You ma'am nice video
I have one question that if PAP^-1=B then A is similar to B or not?

urvikaria
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Thank you...
All my doubts are cleared....it was a very helpful video

subhamdas
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ma'am your videos are very helpful thanks a lot

raggamer
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Please make a video about "Congruent symmetric matrix"

omarfaroque
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Thank you so much mam..bhut der se smjne ki kosis krrha tha ..koi video nhi mil rhi thi

Dearbhanusir
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Madam congruent matrix ki example b kindly explain kray

sajidmunir
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thankyou and glad I found you professor!

sleepypanda
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Thanks mam for explaining concept easily please make more videos

Vivek-hvrn
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23:23 min. Par ane vale equation mai I kese aya mam please batai ae na

skphysics