Solve Matrices using Characteristic Equation | IIT JEE Short Cuts & Tricks | | Mathongo | Anup Sir

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  • Опубліковано 7 вер 2024
  • Caley Hamilton Theorem or Characteristic Equation Method
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КОМЕНТАРІ • 77

  • @mathongo
    @mathongo  2 роки тому +2

    🚀 Join the MOST Relevant JEE Main Test Series with 500 plus tests: bit.ly/3HqNHqt

  • @phyjee4360
    @phyjee4360 2 роки тому +41

    I'm a 2021 jee student and this is an important topic which quite some students don't know and this concept (when applicable) makes the question really easy, it helped me in 2/4 attempts in 2021.

    • @ayush6570
      @ayush6570 Рік тому +4

      Bhai kon sa College mila

    • @yakshityadav221
      @yakshityadav221 10 місяців тому

      Kyu panni mar Raha hai ghanta smaj aya

  • @birrrdddyyy1517
    @birrrdddyyy1517 Рік тому +35

    6:33 OPTION A
    M^4 =( M^2)^2
    M^2=M+2I
    M^4=(M^2) +(2xMx2I) +(4I^2)
    since Mx I= M & I^2=I
    M^4=(M+2I)+(4M)+(4I)
    M^4=5M+6I
    :)
    AMAZING TRICK SIR😄
    THANK YOU

  • @kalpajyotinathprodhani8980
    @kalpajyotinathprodhani8980 2 роки тому +42

    Caylay hamilton th.

  • @harshitagrawal3107
    @harshitagrawal3107 2 роки тому +31

    6:20 Answer is A
    Thanku sir for your efforts ❤️

    • @akashguptanitian
      @akashguptanitian 2 роки тому +2

      i am getting 3M + 2I , plz tell what i am making mistake

    • @abhijeetyadav9717
      @abhijeetyadav9717 2 роки тому +1

      @@akashguptanitian i am also getting same

    • @Rohit-li7nl
      @Rohit-li7nl 2 роки тому

      @@akashguptanitian might be calculation mistake

  • @arnavbhardwaj9372
    @arnavbhardwaj9372 Рік тому +5

    really very fantastic. This type of ques was asked in jee 2022 july sir cleared thank you..

  • @josh15h3r3
    @josh15h3r3 2 роки тому +4

    Sir, answer is (A)
    And, yes this series is helping us to know some tricks in maths! 😃

  • @henakausar3581
    @henakausar3581 2 роки тому +6

    Answer is A
    Thank you for another great trick.

  • @jote0924
    @jote0924 Рік тому +2

    Quick & crisp, thanks for saving my time.

  • @ringo4556
    @ringo4556 2 роки тому

    Itni jldi to kisi see pani mangne per bhi nhi milta jitni jldi jis topic me mujhe problem thi use Mai you tub search karne ja RHA tha iski trick jaise hi yt khola sir ki osm trick pehle hi bina search Kiya thank you sir. This series help me a lot

  • @shikharsharma4123
    @shikharsharma4123 2 роки тому +8

    was interested to find out the shortcut for characterstic eqn for 3*3 matrix

    • @Anonymous-fs1od
      @Anonymous-fs1od 2 роки тому +16

      Characteristic eqn for 3×3 is
      A^3 -tr(A).A^2 + tr(adjA).A -|A| = 0
      🙂

    • @mathongo
      @mathongo  2 роки тому +34

      Atleast try to listen to the entire video, hint was given. But everybody will just see the start and try to prove they know all.

    • @harshbabel82
      @harshbabel82 2 роки тому +11

      @@mathongo Destroyed🤣

  • @dicaprio5350
    @dicaprio5350 2 роки тому +1

    This one is in my first year college in M1,I am a partial dropper BTW

  • @tmezone5180
    @tmezone5180 Рік тому

    A option
    Thank you sir for this important concept

  • @atharvjain8878
    @atharvjain8878 2 роки тому

    Sir please make more videos of tricks like this

  • @harshbabel82
    @harshbabel82 2 роки тому +2

    Sir Please make a video on Solving Linear Equations in Matrices just like we have crammers rule in Determinant

    • @mathongo
      @mathongo  2 роки тому +18

      Why solve using matrices then, stick with determinant method

  • @user-mc1zi4dt6w
    @user-mc1zi4dt6w 8 місяців тому

    Option:(a)
    Thanks u sir ❤

  • @madhavdhage1643
    @madhavdhage1643 2 роки тому +2

    Sir plz binomial ke liye koj video bana do

    • @mathongo
      @mathongo  2 роки тому +1

      Binomial Shortcuts: ua-cam.com/video/TiM85bJ73Is/v-deo.html

  • @Rohit-li7nl
    @Rohit-li7nl 2 роки тому +1

    Nice trick sir

  • @shashwatdwivedi227
    @shashwatdwivedi227 Рік тому

    Nice explanation sir 👍

  • @musthaqueali6130
    @musthaqueali6130 2 роки тому

    Sir how to write characteristic equation of inverse and adjoint?

  • @YashRaj-mu8en
    @YashRaj-mu8en 2 роки тому +1

    Answer is A

  • @shravankumarpandey108
    @shravankumarpandey108 2 роки тому +1

    A is correct ans

  • @singerwingerarijitsingh.8156
    @singerwingerarijitsingh.8156 2 роки тому

    Option (A) is right of last question..

  • @mansisethi8127
    @mansisethi8127 2 роки тому

    Option A ! Thank you sir ! :D

  • @Vivek-mb1ss
    @Vivek-mb1ss 2 роки тому

    Sir plss make playlist of all the shortcuts

  • @prajwalparihar2903
    @prajwalparihar2903 2 роки тому

    Sir please
    Make video on jee advanced most detail analysis
    ❤❤

  • @nanidcruize2712
    @nanidcruize2712 2 роки тому +5

    3:30 part of Jee Adv 2020 Question

  • @gkshorts5815
    @gkshorts5815 2 роки тому +1

    Can i still join Jee main maths crash course??

  • @grandson_f_phixis9480
    @grandson_f_phixis9480 2 роки тому

    Thanks a lot sir🔥

  • @akash2879
    @akash2879 Рік тому

    6:33 and A

  • @ErenMC_
    @ErenMC_ Рік тому

    Sir is characteristic equation of 3x3 matrix there in 2024 JEE Main and Advanced syllabus?

    • @shaanIITP
      @shaanIITP 5 місяців тому

      Not in syllabus of jee actually ...its in graduation syllabus
      But you can use this method as a short cut to convert low degree Matrix equations to higher degrees very easily

  • @kshitizsrivastava9429
    @kshitizsrivastava9429 Рік тому

    6:33 (a) is the correct answer

  • @DrGamer-dm3hp
    @DrGamer-dm3hp 2 роки тому

    Sir chem ke bare bare numerical solve nahi hote hai so pls. Make videos related to such topic 🙏

  • @anujsoni6677
    @anujsoni6677 2 роки тому

    Sir any short cut for 3x3 matrix

  • @angelsharma3700
    @angelsharma3700 2 роки тому +1

    Sir pls tell what is the sum of minors along major diagonal

  • @balasriraam4465
    @balasriraam4465 2 роки тому

    ans is (A)

  • @alokray3008
    @alokray3008 2 роки тому

    200k soon

  • @Happyman-f4n
    @Happyman-f4n Рік тому

    Answers A

  • @harshkumarverma3828
    @harshkumarverma3828 2 роки тому

    Option A)

  • @jaswanthchowdary9601
    @jaswanthchowdary9601 2 роки тому

    sir please upload jee advanced analysis

  • @chiragjain7096
    @chiragjain7096 10 місяців тому

    A option🎉

  • @pandasm1007
    @pandasm1007 2 роки тому +3

    MATHONGO😍

    • @mathongo
      @mathongo  2 роки тому +8

      but its MathonGo with O

    • @pqrs928
      @pqrs928 2 роки тому +4

      @@mathongo oh damn those reading skills tho

    • @sameermittal1852
      @sameermittal1852 2 роки тому +2

      @@mathongo sir watched ur dropper video....u gave me a lot of positivity and motivation....Thank u sir

  • @garima5239
    @garima5239 2 роки тому

    5M + 6I

  • @ishan907
    @ishan907 2 роки тому

    a part of hw ques

  • @ADITYA20056
    @ADITYA20056 7 місяців тому

    Thanks ❤

    • @Random_bhai99
      @Random_bhai99 7 місяців тому

      Aaz ka question dekhke aye ho kya..

    • @ADITYA20056
      @ADITYA20056 7 місяців тому

      @@Random_bhai99 ha bhai 😹

    • @UrsAvinash
      @UrsAvinash 7 місяців тому

      ​@@Random_bhai99 bro answer 2 haii naa

  • @bhavanamarri4543
    @bhavanamarri4543 2 роки тому

    this is taught in engineering 1st year.

  • @sarthakkabra5318
    @sarthakkabra5318 2 роки тому

    Opt A correct ans

  • @uttamvishwakarma6690
    @uttamvishwakarma6690 2 роки тому

    Option (a)

  • @account0385
    @account0385 Рік тому

    A answer

  • @botispro9212
    @botispro9212 2 роки тому

    same concept in jee adv 2019

  • @vaishnavim1909
    @vaishnavim1909 2 роки тому

    Answer is A 5M + 6I

  • @harshitamahbubani4895
    @harshitamahbubani4895 2 роки тому

    A

  • @madhavdhage1643
    @madhavdhage1643 2 роки тому

    Sir sahi time pe sahi upload kaise marte ho. Love your content..

  • @riderop7492
    @riderop7492 2 роки тому

    answer is A

  • @beerugupta8419
    @beerugupta8419 2 роки тому

    A