System Of Linear Equations | Non Homogeneous Equation | Matrices

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  • เผยแพร่เมื่อ 14 พ.ย. 2024

ความคิดเห็น • 399

  • @gajendrapurohit
    @gajendrapurohit  4 ปีที่แล้ว +62

    Thanks for your comment, your appreciation always motivate us to do such kind work.
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    • @shahidaakhter4003
      @shahidaakhter4003 4 ปีที่แล้ว +1

      Sir physics k class k liyai KY subscribe Karna hai I mean koun c channel

    • @ompathak2807
      @ompathak2807 3 ปีที่แล้ว +1

      sir problem 3 ka solution khii or bhi hain?

    • @riyasharma4840
      @riyasharma4840 3 ปีที่แล้ว

      Sir rank nikalne ke liye atleast one row zero hona chahiye but 11:56 me puri row zero ni hui to phir rank 2 kaise likh sakte hai
      Sir pls reply karke clear kariye isko

    • @srishtirawat8054
      @srishtirawat8054 3 ปีที่แล้ว +1

      Excuse me sir what will be the rank of A:B if the last element of coefficient matrix is some constant and other are zero (including last element of B)?
      Please tell!

    • @NyaNew
      @NyaNew 3 ปีที่แล้ว

      @@ompathak2807 Rank will be 4

  • @chinmaywali606
    @chinmaywali606 3 ปีที่แล้ว +108

    Best teaching sir 🙌❤
    For practice problem ans is:-
    No solution : when λ=5 and μ≠9.
    Uniqe solution : when λ≠5 and μ≠9
    Infinite solution : when λ=5 and μ=9.

    • @adarshkapoor9467
      @adarshkapoor9467 2 ปีที่แล้ว +14

      For unique solution mu may or may not 9
      But lambda should be equal to 5

    • @d3sync761
      @d3sync761 ปีที่แล้ว +9

      @@adarshkapoor9467 lambda should not be equal to 5

    • @sohamghag1726
      @sohamghag1726 ปีที่แล้ว

      correct hai bhai]

    • @pratyushpatwal1440
      @pratyushpatwal1440 10 หลายเดือนก่อน

      Ha Correct hai

    • @beastincarnet1106
      @beastincarnet1106 8 หลายเดือนก่อน

      Correct

  • @RajeshRajesh-q5w
    @RajeshRajesh-q5w 10 หลายเดือนก่อน +25

    1. λ=5 no solution
    2. λ≠5 unique solution
    3. λ=5, μ=9 infinite solution
    Answer of the last queston

  • @waleedahmed603
    @waleedahmed603 ปีที่แล้ว +27

    25:00 how was the value of row 2 changed? Which row operation do you perform on row row 2🤔

    • @PranjalShukla-im9zb
      @PranjalShukla-im9zb 2 หลายเดือนก่อน +2

      exactly bhai , im also confused now

  • @kundanmandal0009
    @kundanmandal0009 2 ปีที่แล้ว +7

    Sir, 24:58 me jo aapne operations banaaya wo,
    1 2 0 : 4
    0 -3 2 : -11
    0 0 29 : -116
    0 0 -17 : 68
    ye hoga....

    • @xenon6138
      @xenon6138 10 หลายเดือนก่อน

      ha i also getting same idk why

    • @amardeepkumar565
      @amardeepkumar565 2 หลายเดือนก่อน +2

      When you perform the last transformation operation R4-->29R4 + 17R3 , Then you have all elements 0 in the last row

  • @biswajitbarik1077
    @biswajitbarik1077 4 ปีที่แล้ว +56

    Thank u sir 👍👏....Here is the answer of the last question....
    (i)lambda=5,miu is not =9
    (ii)lambda is not =5
    (iii)lambda=5,miu=9
    🙏

    • @PreparewithSuman
      @PreparewithSuman 4 ปีที่แล้ว +11

      Thanks a lot Respected Purohit sir . no solution when λ=5, μ≠9
      a unique solution when λ≠5 , μ≠9
      an infinite number of solution when λ=5, μ=9

    • @harmishsavaliya4
      @harmishsavaliya4 3 ปีที่แล้ว

      Ri8

    • @harmishsavaliya4
      @harmishsavaliya4 3 ปีที่แล้ว

      Ri8😇

    • @harshg.9896
      @harshg.9896 3 ปีที่แล้ว +7

      @@PreparewithSuman Actually, for the solution to be unique we only require "lambda" to not be equal to 5....the value of "nu" wouldn't matter

    • @ahmadawan6701
      @ahmadawan6701 3 ปีที่แล้ว

      @@harshg.9896 you right miu does not effect

  • @barcadas31
    @barcadas31 3 ปีที่แล้ว +37

    In problem 3, how did you get the second row as [0 1 9 -35] during transformation? Plz explain Sir

  • @prankushsharma2588
    @prankushsharma2588 4 ปีที่แล้ว +112

    in example 3 i think something wrong because answer is right but calculation is wrong because doing by R4 -> 3R4 - 7R2 not going to all element 0 in last row

  • @tanujbhattdotin
    @tanujbhattdotin 4 ปีที่แล้ว +26

    First time I'm feeling good by seeing lecture and learning a precious information in a non complicated way
    Very nice sir keep it up and sir make more videos for btech students ❣

  • @pavankumarpk9013
    @pavankumarpk9013 3 ปีที่แล้ว +13

    Sir in the first question at 16:42 I think its "R3-> R3 - 2R2" instead of 2R1

  • @ShreyasDalvi-l1l
    @ShreyasDalvi-l1l 2 วันที่ผ่านมา +1

    nice teaching👍👍

  • @believeinyourself811
    @believeinyourself811 9 หลายเดือนก่อน +2

    Last Question answer
    1. Lambda = 5 but u != 9
    2. Lambda != 5 but u != 9
    3. Lambda = 5 but u = 9
    Hope it Helps ❤

  • @jaishreeramjaibajrangbali
    @jaishreeramjaibajrangbali 2 ปีที่แล้ว +3

    In problem 3 in last
    R4 _ 29 R4 +17 R3
    Then unique solution

  • @harekrishanaharekrishana3916
    @harekrishanaharekrishana3916 3 ปีที่แล้ว +4

    Answer of the last question is...
    For unique solutions
    Lambda not equal to 5
    Meu not equal to 9
    2.for no solution:
    Lambda equal to 5
    But mew not equal to 9
    3. For infinite many solutions:
    Lambda=5
    Mew=9

  • @_Sahil-ti1qn
    @_Sahil-ti1qn 4 ปีที่แล้ว +22

    Great explanation by great teacher.

  • @shubhangisood175
    @shubhangisood175 2 ปีที่แล้ว +9

    Now finally the concept is clear after so long... I used u hate these questions and now I just fell how easy it is ! Thanks sir for making it so clear

  • @ritudhiman432
    @ritudhiman432 4 ปีที่แล้ว +2

    Really you are great kyun ki aap sabhi bacho ko dhayan mein rakte ho na ki unko jo coaching lete hai specially ,kyun ki har koi coaching nahi le sakta

  • @yashkumar_7358
    @yashkumar_7358 หลายเดือนก่อน +1

    problem-6
    i)λ=5, μ=/9
    ii)λ=/5 , μ=/9
    iii)λ=5 , μ=9

  • @Chemistkom..2008
    @Chemistkom..2008 2 ปีที่แล้ว +3

    Nice explanation sir 👌👌👌👌

  • @janhvinarayan1633
    @janhvinarayan1633 9 หลายเดือนก่อน +2

    If the system of equations,
    λx+2y−2z=1,
    4x+2λy−z=2,  
    6x+6y+λz=3
    has a unique solution, then λ= ?
    sir ek aise type ka question bhi lelete, isme calculation kaafi complex ja rahi fractions ki vajah se

    • @Revanth-bs9qo
      @Revanth-bs9qo 9 หลายเดือนก่อน

      lamda not equal to 4,2,8

  • @AgyaniHRCreations
    @AgyaniHRCreations 3 ปีที่แล้ว +21

    25:05Sir g problem 3 galat solve kari hai...
    R2 pe operation nahi lgaya fir b change kar di
    And
    R4 0 nahi ho rahi
    Explain us please🙏🙏🙏

    • @subratsahoo398
      @subratsahoo398 3 ปีที่แล้ว +2

      Nehi sir us jaga pe final answer book se dekh kar likh diye hain😁

    • @anoopverma7941
      @anoopverma7941 3 ปีที่แล้ว +1

      Really

  • @s.jehanabadi
    @s.jehanabadi 3 ปีที่แล้ว +5

    Rank of the given matrix is |°(AB)=3,|°(A)=3,so it would be consistent and unique solution.

  • @manjushwar468
    @manjushwar468 9 หลายเดือนก่อน +1

    nice efforts in making this video !! I understood all the concepts !!

  • @bhartithool
    @bhartithool 8 หลายเดือนก่อน

    Thanks sir,u r explaining in such a nice way...if the problem is seeing difficult but it becomes easy by ur concept

  • @kartikayjoshi3123
    @kartikayjoshi3123 3 ปีที่แล้ว +7

    sir problem 3 pe kuch mistake hai plzzz correct and tell@ Dr.Gajendra Sir

  • @JatBadmos
    @JatBadmos ปีที่แล้ว +2

    this guys is Surma for all the students
    because of you we understand topics very easily which college professors don't explain...

    • @VasuVashistha
      @VasuVashistha 5 หลายเดือนก่อน

      badmoshi nhi mitar🤡

  • @snehaverma-li3cm
    @snehaverma-li3cm ปีที่แล้ว +1

    Thank you sir aap bohot aache se explain karte h 🙏

  • @PreparewithSuman
    @PreparewithSuman 4 ปีที่แล้ว +3

    Thanks a lot Respected Purohit sir . no solution when λ=5, μ≠9
    a unique solution when λ≠5 , μ≠9
    an infinite number of solution when λ=5, μ=9

  • @p_saini
    @p_saini 4 ปีที่แล้ว +1

    thankyou sir, mene bhut kuch sikha iss video se

  • @Pratik_Salve
    @Pratik_Salve ปีที่แล้ว +3

    30:54 R3-3R2 hona chahiye

  • @PRINCEGAMING-to8pn
    @PRINCEGAMING-to8pn 10 หลายเดือนก่อน +1

    In problem 5 after transformation R3>R3-3R1 how last row is zero.
    Anyone ans.

  • @AnkitKumar-jp5ci
    @AnkitKumar-jp5ci 4 ปีที่แล้ว +7

    Thanks you so much sir ♥️ this video is very helpful for understanding this topic ♥️♥️♥️♥️

  • @AbhishekKumar-ft8uc
    @AbhishekKumar-ft8uc 2 ปีที่แล้ว +2

    1).no soln
    Lamda=5, meu not equal to 9.
    2).a unique solution
    Lamda not equal to 5, Meu can take any value.
    3).For infinite no of solution
    Lamda=5, meu =9.

  • @oshikabhardwaj9790
    @oshikabhardwaj9790 3 ปีที่แล้ว +1

    Thanks for this video

  • @MaheshKumar-cc9ln
    @MaheshKumar-cc9ln 4 ปีที่แล้ว +5

    Thanks you sir. I cleared a very tough exam of MBA contaning complecated numericals covered in your channel. The subject was MS-08 Quantitative Analysis for Managerial Applications. I followed your lectures precisely on relevant topics & obtained grade B whereas in previous two attempts I could not clear the exam.
    Thanks a lot.

  • @tpsicmin
    @tpsicmin 2 ปีที่แล้ว +1

    Thanks Lot Sir
    Amazing explanation

  • @aniketeuler6443
    @aniketeuler6443 3 ปีที่แล้ว +4

    Very good explanation sir you clarified all my doubts 😄

  • @ayodhyawaale9728
    @ayodhyawaale9728 3 ปีที่แล้ว

    In real sir aapaka koi jodh nahi hai your teaching style is too good . Aapki video mere liye bahut hi helpful prove hui.Jai Hind sir

  • @neeruneeru1598
    @neeruneeru1598 ปีที่แล้ว +1

    Excellent Explanation
    *
    "Keep it up"

  • @arkshitpande5902
    @arkshitpande5902 3 ปีที่แล้ว +1

    Itna better tarike se maine kabhi bhi nhi padha sir thank you very much ❤🙏🙏

  • @dataminX
    @dataminX ปีที่แล้ว

    1st q has unique solution btw thank you for the lecture sir

  • @CUSATianDHIRAJ-lk7op
    @CUSATianDHIRAJ-lk7op 10 หลายเดือนก่อน

    Bahut Bahut Apko Dhnayabad sir

  • @Swag_Core
    @Swag_Core 2 ปีที่แล้ว +1

    Sir,in problem 1 for consistency test it will be R3->R3-2R2 in place of R1

  • @ankitakumari9632
    @ankitakumari9632 3 ปีที่แล้ว

    Explanation is very easy sir
    Great sir

  • @aashishagrawal3990
    @aashishagrawal3990 9 หลายเดือนก่อน +1

    Sir shayad aapne problem 5 mein unique ko infinite solution aur infinite solution ko unique kr diya hai

  • @thokthaktabungwjaba7988
    @thokthaktabungwjaba7988 2 ปีที่แล้ว +2

    1. Lamda is 5 and mu is not 9
    2.lamda is not 5
    3.lamda is 5 and mu is also 9
    Thanks you very much sir

  • @official_altymfav
    @official_altymfav 3 ปีที่แล้ว

    You are th ehope of mathematics sir
    thank you so much sir

  • @rajeevverma4094
    @rajeevverma4094 4 ปีที่แล้ว +2

    sir plz check / explains Q.3 as there is seem some mistake

  • @shimpiyadav1151
    @shimpiyadav1151 2 ปีที่แล้ว

    First time I am feeling very easy lecture thank u so much sir

  • @rahuljalal5830
    @rahuljalal5830 2 ปีที่แล้ว +1

    Keep it sir 🥰❤️❤️❤️❤️❤️ you are very helpful for me 🥰💓💓💓🥰

  • @anuragguha2451
    @anuragguha2451 11 หลายเดือนก่อน

    Bohot acha smjhate ho sir aap🙇🏻🙏🏻

  • @nonstopcodingcodewithadity8238
    @nonstopcodingcodewithadity8238 ปีที่แล้ว +3

    21:21 its 33 not -33

  • @beautyineducation2737
    @beautyineducation2737 2 ปีที่แล้ว +1

    I don't understand these things in my institute my institute is one of the prestigious institutes but you are exceptionally awesome sir I understand each step which you explain you are awesome sir

  • @chandanmathsskill6514
    @chandanmathsskill6514 3 ปีที่แล้ว +1

    Thanks sir to help for financial problem students 👍👌

  • @aryaveersingh907
    @aryaveersingh907 2 ปีที่แล้ว +2

    Great Work ✔️

  • @harshalgedam2646
    @harshalgedam2646 2 หลายเดือนก่อน

    Thanks a lot for such a great explanation sir my college prof. are way to bad in explanation and it saved me from getting failed in exam

  • @ayushlohia2992
    @ayushlohia2992 3 ปีที่แล้ว +1

    Thankyou sir very simple and clean explanation!!! Apne linear algebra bahut easy bana di..pehle bahut hard lagti thi. Thanks a lot sir..💚💚

  • @tarushibagra7491
    @tarushibagra7491 2 ปีที่แล้ว +2

    Sir your teaching style is magnificent 🥰🌺
    Thank you sir😊😁
    Answer of the last question
    1️⃣for no solution
    Lamda=5 ,mu not=9
    2️⃣for unique solution
    Lamda not=5 and mu=all real
    3️⃣for infinite solution
    Lamda=5 and mu=9 👍👍
    But there is something mistake in example 3🤔🤔

  • @amankajla234
    @amankajla234 3 ปีที่แล้ว

    Peli baar Etna acha samaj aya thanku u so much sir

  • @bankingcontestentsatyam5794
    @bankingcontestentsatyam5794 4 ปีที่แล้ว +1

    Best explanation.... 🎉 🎉

  • @tyagiffgaming356
    @tyagiffgaming356 ปีที่แล้ว +1

    Sir app bhaut accha padatha ho

  • @aloneversion6107
    @aloneversion6107 2 ปีที่แล้ว

    The teaching leads too meaning full... when our brain is not responding while dng maths..... We must watch ur video's to respond 😊

  • @HassanAlee-mt4up
    @HassanAlee-mt4up 3 ปีที่แล้ว +1

    Dear sir kindly made lectures on linear algebra specially Echlon form or reduce echlon form,pivot position and cover all syllabus of linear algebra which is writen by Divid C lay book..plzz

  • @ujjwalgoyal1552
    @ujjwalgoyal1552 7 หลายเดือนก่อน

    In problem 3 before sir wrote ans perform R3/29 and then R4+17R3 will give the ans

  • @subratapal3849
    @subratapal3849 2 ปีที่แล้ว

    Sir, Need a video on Cramer's rule . Please help me..

  • @remembertoeye1725
    @remembertoeye1725 4 ปีที่แล้ว +1

    Sir ur great
    App bhaut accha padhate ho
    Sare concepts acchese clear ho jati hai
    Thank you so much sir

  • @darshilprajapati177
    @darshilprajapati177 2 ปีที่แล้ว

    you are so good sir

  • @mayyadmayyad2986
    @mayyadmayyad2986 3 ปีที่แล้ว

    Excellent vedio sir

  • @swmpolice
    @swmpolice 4 ปีที่แล้ว +2

    Thank you so much sir 🤗🤗🤗🤓

  • @daviddevdeori4828
    @daviddevdeori4828 3 ปีที่แล้ว +1

    Thank you sir for your contribution..

  • @अंकुशशर्मा-म7ठ
    @अंकुशशर्मा-म7ठ 3 ปีที่แล้ว +16

    Sir g problem 3 galat solve kari hai...
    R2 pe operation nahi lgaya fir b change kar di
    And
    R4 0 nahi ho rahi
    Explain us please🙏🙏🙏

  • @vanshikasharma9633
    @vanshikasharma9633 2 ปีที่แล้ว

    Thank you so much it helps a lot

  • @Rakeshkumar-jf4ty
    @Rakeshkumar-jf4ty 2 ปีที่แล้ว +1

    Nice sir always..

  • @raghunandanverma894
    @raghunandanverma894 4 ปีที่แล้ว +1

    Thank you so much sir for help us...

  • @champaklal115
    @champaklal115 2 ปีที่แล้ว +5

    Last day pe hi yaad ati h padhne ki 😃

  • @gamingplatform1635
    @gamingplatform1635 3 ปีที่แล้ว

    Best bsc lectures available in the world of internet

  • @adnanafdalahmed
    @adnanafdalahmed 2 ปีที่แล้ว

    Functional analysis ka video banaye

  • @thestrange6
    @thestrange6 2 ปีที่แล้ว

    thanks a lot, sir !!...... I'm speechless

  • @saurabhm809
    @saurabhm809 3 ปีที่แล้ว

    U are a great teacher sir

  • @shernawab8840
    @shernawab8840 3 ปีที่แล้ว

    Sir g 💯% satisfied apke lecture

  • @TechEnlighten-g2m
    @TechEnlighten-g2m ปีที่แล้ว

    Thanks for your efforts sir
    Really Appreciated

  • @Yaduvanshi_Chandan
    @Yaduvanshi_Chandan ปีที่แล้ว

    Thanks guruji 🙏🙏🙏🙏🙏🙏🙏🙏❤❤❤❤❤🙏🙏🙏

  • @anjalisingh3694
    @anjalisingh3694 2 ปีที่แล้ว +2

    Sir you are the best🔥....keep proving us the videos 💯💯💯

  • @103anushkasingh3
    @103anushkasingh3 3 ปีที่แล้ว

    Sir please can you explain full theoretical concepts

  • @mathsloversjn3453
    @mathsloversjn3453 3 ปีที่แล้ว

    Great explanation sir

  • @sachindhakal2716
    @sachindhakal2716 2 ปีที่แล้ว +1

    love you sir ..thank u very much for classes like this i am engineering student from nepal and cleared 1st and 2nd sem of math just because of you and going good on third one😍😍

  • @apurvaanand4669
    @apurvaanand4669 4 ปีที่แล้ว +4

    Thanks a lot sir for clear explanation of complicated topics ❤️❤️❤️

  • @sakshikamble1534
    @sakshikamble1534 2 ปีที่แล้ว

    Thank you sir....U are the best teacher....💯🥰

  • @er.skelafahmed
    @er.skelafahmed 3 ปีที่แล้ว +1

    Great explanation thank you sir!

  • @prigamer4784
    @prigamer4784 3 ปีที่แล้ว

    What a explanation

  • @AKASHKUMAR-li7li
    @AKASHKUMAR-li7li 2 ปีที่แล้ว

    What is matrix method and inverse matrix method...??

  • @vedanshpareek8421
    @vedanshpareek8421 3 ปีที่แล้ว

    Thank you sir ; you r the best

  • @khushibankria3278
    @khushibankria3278 3 ปีที่แล้ว

    Ty sir You teach very good sir

  • @tanmaychauhan4618
    @tanmaychauhan4618 3 ปีที่แล้ว

    Thankyou sir from Haryana btech student

  • @devanshkhuradiya
    @devanshkhuradiya 4 ปีที่แล้ว +1

    Sir please teach real analysis

  • @Shivakumar-hg4yl
    @Shivakumar-hg4yl 3 ปีที่แล้ว

    Gajendra purohit you are puro HIT

  • @Swayam_course
    @Swayam_course 2 ปีที่แล้ว +3

    in Problem 6
    FOR NO Solution (lemda=5 & mue not = to 9)
    for unique solution (lemda & mue not equal to 5,9)
    for ♾️ solution (lemda=5 & mue = 9)

  • @tanzulalfiya4628
    @tanzulalfiya4628 4 ปีที่แล้ว

    Fabulous Video......👍👍👍👍👍👍👍👍👍👍

  • @parmeshirana4388
    @parmeshirana4388 2 ปีที่แล้ว

    ques6 sol is 1) lambda=5 and mue not=9
    2) lambda not=5
    3) lambda=5 and mue = 9

  • @captaingaming.overpower9025
    @captaingaming.overpower9025 3 ปีที่แล้ว

    Best explaination sir