Amazing Matrix Shorcut ...

[@JEEnexus]

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[@jayabhavani8610]

Sir please add English subtitles because we South Indian students will also understand clearly

[@DrishtaantRoyIIT-JEE]

Just for an info: I realized that if we want sum of product of roots taken two at a time in such cubic equations which the matrix satisfies, we can find sum of product of diagonal elements taken 2 at a time. For instance, at 3:32 we can see from the equation the value of product of roots taken two at a time is 14 [by property of cubic equations], and we can confirm that by taking sum of product of diagonal elements 2x1+1x4 + 4x2 = 14. This is very useful as sometimes they may give unknown parameter as coefficient of A and may ask it's value. We can use this method to find it.

[@deepvaghasiya3597]

There are lots of assumption needed for the trick to be valid: 1) u need to always check if the given nth degree eqn for the nxn matrix is the characteristic eqn of the matrix or not, then only we can say that the product of roots is the product of eigenvalues (det(A)) and and the sum is trace (sum of eigenvalues) 2) you just cannot blindly assume that the given equation will always be a characteristic equation (in most of the jee questions it is), there's a theorem that if the eigenvalues are distinct for the given matrix, then the characteristic polynomial is the least polynomial satisfied by the matrix, so any other polynomial of same degree will be just a constant multiple of that Basically, every matrix satisfies its characteristic eqn, but if a matrix is satisfying some eqn, it need not be the characteristic eqn The questions do satisfy these conditions, that is why the trick works, JEE advanced always gives valid questions, sadly the theory taught to you guys isn't valid enough. In the jee advanced question if u check the characteristics eqn of M, which is quadratic, the disciminant of it is never 0 (u can check), that is why the eigenvalues are always distinct, that is why the given polynomial can be taken as some scalar multiple of the characteristic polynomial, that is why the sum of roots will be the sum of eigenvalues (that is = trace)

[@janhavi2297]

can u throw some light on point 2) ?

[@itechgaming6925]

Amazing video sir , alpha* = 1/2 and beta* = -37/16 ( by completing the square method ) , so the answer comes out to be -29/16. Thankyou so much sir for such an amazing shortcut

[@stutikumari3988]

Sir shortcuts ki v ek playlist create karde plzzz

[@adityajha2889]

Beta = negative of a quantity which is always positive This implies that quantity must be at its maximum for beta to be the most negative and hence attai its min -Beta=(sin²2x/4+1/2)²+7/4 Max of rhs is at sin²2x=1 So beta=-37/16

[@gitarthabordoloi5913]

Mah toh practice karna kah baad bhi matrices kah formulas bhul jata huin 😢

[@MrEngineer.2]

Beta = - 37/16 😊 Love you bhai❤😊

[@milestones3005]

Thank you sir for the short cut alpha is 1/2 and beta is -37/16 the final answer is -29/16

[@HarshithNayakanti]

H.W problem the correct option is B

[@omkarmundada2465]

Sir, α = 1/2 β = -37/16 And so ans -29/16 hojayega....Thanks Sir!!!🙂🔥✨

[@hrikam]

Thank you for these tricks Sir!

[@itechgaming6925]

Amazing video sir , alpha* = 1/2 and beta* = -37/16 ( by completing the square method ) , so the answer comes out to be -29/16. Thankyou so much sir for such an amazing shortcut ❤❤❤‍🔥

[@Mohit_Choudhary_2009]

Loved the video sir and make these type of tricks more ❤❤❤

[@JEEnexus]

Do let us know in the comments which topic you need in next video.

[@Betterthanoutliers]

@@JEEnexus Sir please make a strategy video on bitsat if possible as it is in next 20 days 🙏

[@Samaira25185]

​@@JEEnexusapplication of derivatives please

[@piyooshdwivedipdvines3902]

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[@Sheersh-j5e]

Bhai use code = NEXUSAK Uske baad 5499 ho jayega 😊

[@Sheersh-j5e]

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[@tushanpriya5784]

Bro, Mohit Tyagi Lelo sbse best hai

[@4bhinav333]

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[@tyagisuman1934]

Haa brother Mohit sir ka le le ....😊

[@SagarHotta-xu2hc]

This is basically Formation Characteristics equation of matrix ❤ Nice concept

[@sanjaykumarsingh3388]

Being studying maths offline I still do math by learning from arvind sir .

[@Bvmstar9090]

Sir great video answer to hw question is alpha=1/2 and beta*=-37/16....used conpleting square method so answer tovalpha*+beta* is -29/16 Thank you sir please provide more videos ❤❤❤

[@bhaveshsinghbisht]

Bro can you elaborate your method ? I got the same answer but want to see your method .

[@yuvrajjain-ie8uy]

Sir is the correct option (D) -29/16 And B(beta) = - 37/16 Sir, how to do cengage for Jee Advance, I am currently in 12th.

[@HarshithNayakanti]

galath hai bhai

[@techthinker2584]

Hey sir please please ek graph transformation pe advanced ke lia video bnai please thodi lambi video bnaiyaga lagbhag 3 ghante ka please

[@techthinker2584]

Hey sir please please ek graph transformation pe advanced ke lia video bnai please thodi lambi video bnaiyaga lagbhag 3 ghante ka please 🥺🥺🥺🥺🥺🥺🥺

[@frosty2641]

sir nimbus reloaded batch ma syllabus starting sa karaya jaya ga kya ya fir recorded ho ga starting ka syllabus

[@HarshithNayakanti]

home work the correct option is option B im the first to answer!!!!

[@VishalChaubey-nv6nv]

Sir ji characteris eqn se 15 sec me nikal jaega 😅😅😅

[@jaideepthiruveedhi]

4:56 'I' kya hai ismai ??

[@rajatsingh3968]

Identity metrix jiski value "1" hoti hai

[@doge_the_cat]

Q1 eqn is wrong, it will be 16 instead of 14

[@Sushi-z4v]

1:20 how alpha = -7 and beeta = 12 plzz anyone explain 😢

[@NikhitaNaduvil]

I was wondering the same

[@mansurinajama4360]

Short cut for itf❤

[@bhutadiyaparvin173]

-37/16=B*

[@vmadhavan435]

thank you so much for what youve done so far sir, really helpful

[@JEEnexus]

Love you shera. God bless you.

[@vmadhavan435]

@@JEEnexus oh my god, thank you so much for your blessings sir!!!

[@JitakaharKalita]

All behind caley Hamilton

[@KamlaGupta-d2b]

😮😮😮😮😮😮😮 sir woow

[@skullywise]

maja aa gaya👍

[@zoneofcreativity659]

I will do 20 plus from 5 june

[@worldempire_]

Up wale attendance laga k jaye 😊

[@jayabhavani8610]

Option D sahi hai

[@georgegautam]

me solving tb grade 12 matrices-easy ,me solving jee matrices my mind is 2000percent twiated i wish they will teach this at school and jee should be mixed with t/b

[@Mohit_Choudhary_2009]

First❤❤

[@Mohit_Choudhary_2009]

I am first sir and loved the video

[@Ragh4vaaa]

dayummmmmmmmmm

[@suryanshsanatan991]

D

[@swapnamaysarkar9050]

❤

[@AaravSrivastava-q5k]

ITS CAYLEY HAMILTON METHOD XDDDDDDD EVERYNE KNOWS IT WHY IS IT CALLED A TRICKK LOL U COMPLEXISED IT RATHER ITS SIMPLY |A-LAMDA I |=0...... GUYS DONT GET CONDUSED WITH EXTRA SUCH CONCEPTS U CAN EASILY DEERIVE IT FROM STANDARD METHOD NOTHING TO LEARN .

[@Bvmstar9090]

Sir great video answer to hw question is alpha=1/2 and beta*=-37/16....used conpleting square method so answer tovalpha*+beta* is -29/16 Thank you sir please provide more videos ❤❤❤