Amazing Matrix Shorcut ...

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  • Опубликовано: 24 дек 2024

Комментарии • 62

  • @JEEnexus
    @JEEnexus  6 месяцев назад +7

    ➡ 7 Day Unlimited Access of Plus Subscription:- unacademy.com/subscription/free-trial?referral_code=NEXUSAK&goal_uid=TMUVD

    • @jayabhavani8610
      @jayabhavani8610 6 месяцев назад

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

  • @DrishtaantRoyIIT-JEE
    @DrishtaantRoyIIT-JEE 2 месяца назад +5

    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
    @deepvaghasiya3597 3 месяца назад +17

    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)

  • @itechgaming6925
    @itechgaming6925 6 месяцев назад +25

    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

  • @adityajha2889
    @adityajha2889 6 месяцев назад +3

    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

  • @stutikumari3988
    @stutikumari3988 6 месяцев назад +9

    Sir shortcuts ki v ek playlist create karde plzzz

  • @MrEngineer.2
    @MrEngineer.2 6 месяцев назад +2

    Beta = - 37/16 😊
    Love you bhai❤😊

  • @HarshithNayakanti
    @HarshithNayakanti 6 месяцев назад +3

    H.W problem
    the correct option is B

  • @gitarthabordoloi5913
    @gitarthabordoloi5913 6 месяцев назад +7

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

  • @milestones3005
    @milestones3005 6 месяцев назад +1

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

  • @omkarmundada2465
    @omkarmundada2465 6 месяцев назад +1

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

  • @hrikam
    @hrikam 6 месяцев назад +1

    Thank you for these tricks Sir!

  • @SagarHotta-xu2hc
    @SagarHotta-xu2hc 6 месяцев назад

    This is basically Formation Characteristics equation of matrix ❤ Nice concept

  • @Mohit_Choudhary_2009
    @Mohit_Choudhary_2009 6 месяцев назад +11

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

    • @JEEnexus
      @JEEnexus  6 месяцев назад +6

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

    • @Betterthanoutliers
      @Betterthanoutliers 6 месяцев назад +1

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

    • @Samaira25185
      @Samaira25185 6 месяцев назад

      ​@@JEEnexusapplication of derivatives please

  • @piyooshdwivedipdvines3902
    @piyooshdwivedipdvines3902 6 месяцев назад +28

    sir subscription chahiye plus ka uske price 9999 ho gye sir please 5499 krvado ya btado kitne din baad price drop hoga

    • @Sheersh-j5e
      @Sheersh-j5e 6 месяцев назад

      Bhai use code = NEXUSAK
      Uske baad 5499 ho jayega 😊

    • @Sheersh-j5e
      @Sheersh-j5e 6 месяцев назад

      Bhai use coupon code = NEXUSAK

    • @tushanpriya5784
      @tushanpriya5784 6 месяцев назад +3

      Bro, Mohit Tyagi Lelo sbse best hai

    • @4bhinav333
      @4bhinav333 6 месяцев назад

      ​@@tushanpriya5784price

    • @tyagisuman1934
      @tyagisuman1934 6 месяцев назад +4

      Haa brother Mohit sir ka le le ....😊

  • @yuvrajjain-ie8uy
    @yuvrajjain-ie8uy 6 месяцев назад +1

    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.

  • @sanjaykumarsingh3388
    @sanjaykumarsingh3388 6 месяцев назад

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

  • @frosty2641
    @frosty2641 6 месяцев назад

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

  • @bhutadiyaparvin173
    @bhutadiyaparvin173 Месяц назад

    -37/16=B*

  • @HarshithNayakanti
    @HarshithNayakanti 6 месяцев назад +1

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

  • @Bvmstar9090
    @Bvmstar9090 6 месяцев назад

    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
      @bhaveshsinghbisht 6 месяцев назад

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

  • @jaideepthiruveedhi
    @jaideepthiruveedhi 5 месяцев назад

    4:56 'I' kya hai ismai ??

    • @rajatsingh3968
      @rajatsingh3968 4 месяца назад

      Identity metrix jiski value "1" hoti hai

  • @techthinker2584
    @techthinker2584 5 месяцев назад

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

  • @techthinker2584
    @techthinker2584 5 месяцев назад

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

  • @itechgaming6925
    @itechgaming6925 6 месяцев назад +8

    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 ❤❤❤‍🔥

  • @VishalChaubey-nv6nv
    @VishalChaubey-nv6nv 5 месяцев назад +2

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

  • @Sushi-z4v
    @Sushi-z4v 3 месяца назад

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

  • @doge_the_cat
    @doge_the_cat 6 дней назад

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

  • @mansurinajama4360
    @mansurinajama4360 6 месяцев назад

    Short cut for itf❤

  • @vmadhavan435
    @vmadhavan435 6 месяцев назад +1

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

    • @JEEnexus
      @JEEnexus  6 месяцев назад

      Love you shera. God bless you.

    • @vmadhavan435
      @vmadhavan435 6 месяцев назад

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

  • @skullywise
    @skullywise 6 месяцев назад

    maja aa gaya👍

  • @zoneofcreativity659
    @zoneofcreativity659 6 месяцев назад

    I will do 20 plus from 5 june

  • @JitakaharKalita
    @JitakaharKalita Месяц назад

    All behind caley Hamilton

  • @KamlaGupta-d2b
    @KamlaGupta-d2b 3 месяца назад +1

    😮😮😮😮😮😮😮 sir woow

  • @jayabhavani8610
    @jayabhavani8610 6 месяцев назад

    Option D sahi hai

  • @worldempire_
    @worldempire_ 6 месяцев назад +1

    Up wale attendance laga k jaye 😊

  • @georgegautam
    @georgegautam 6 месяцев назад +1

    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
    @Mohit_Choudhary_2009 6 месяцев назад +3

    First❤❤

  • @Ragh4vaaa
    @Ragh4vaaa 6 дней назад

    dayummmmmmmmmm

  • @swapnamaysarkar9050
    @swapnamaysarkar9050 6 месяцев назад +2

  • @suryanshsanatan991
    @suryanshsanatan991 5 месяцев назад

    D

  • @AaravSrivastava-q5k
    @AaravSrivastava-q5k 2 месяца назад

    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
    @Bvmstar9090 6 месяцев назад

    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 ❤❤❤