Engineering Mathematics 4 | Linear Algebra Understand the RANK Like never Before | GATE All Branches

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  • Опубліковано 10 січ 2025

КОМЕНТАРІ • 165

  • @indigoindigo6983
    @indigoindigo6983 2 роки тому +30

    1:13:38 Badhiya lecture tha sir. I learnt many concepts. TY. Or mene Control bhi padha aapse.
    Par sir, with due respect, Row Echelon kisi insan ka name hai hi nahi. Echelon matlab ek millitary formation ko bolte hain. Jese 26th Jan. ko hm aircrafts ko ek formation me dekhte hain na udte hue asman me, wesa hi. Ap gaur kare to matrix me rows me zeros bhi usi formation me aa jate hai Gauss ellimination lagakar, isliye hm use echelon form bolte. Or hm ye matrix operations ko rows par lagakar banate isiliye use row-echelon bolte.
    Asal me aap koi bahut achi book jese Gilbert Strang, 4th ed., page 78 dekhe, to aapko phrase 'echelon form' small letters se shuru hote milega ek paragraph. Jabki everyone knows, kisi person ka name hamesha capital letter se shuru hota hai.

  • @piyushpagar6288
    @piyushpagar6288 Місяць тому +6

    Timestamps (Powered by Merlin AI)
    00:11 - Understanding the importance of rank in the matrix calculation
    02:22 - Understanding the concepts of rank in linear algebra
    06:27 - Understanding the impact of elementary transformations on matrix and determinant
    08:20 - Understanding elementary transformations in linear algebra.
    13:00 - The rank of a matrix remains unchanged after applying elementary transformations.
    15:08 - Elementary Operations Do Not Change Rank of D matrix
    19:28 - Understanding elementary transformation and its impact on matrix rank.
    21:23 - Understanding RANK in Linear Algebra
    26:46 - Understanding square submatrices
    28:35 - Understanding the formation of square submatrices from a given matrix
    32:18 - Understanding NCR and its applications
    34:19 - Understanding the concept of RANK in Linear Algebra
    39:46 - Introduction to matrix, square submatrix, and determinant
    41:37 - Understanding rank and determinants in linear algebra
    46:18 - Understanding the concept of rank in linear algebra
    48:14 - Understanding and calculating the rank in linear algebra.
    53:20 - Importance of motivation for achieving goals
    55:07 - Understanding the RANK of matrices
    59:30 - Rank calculation methods and concepts explained
    1:01:24 - Understanding the concept of the highest order miner in linear algebra.
    1:05:25 - Rank of row or column matrices can be zero or unity.
    1:07:57 - The rank of matrix and identity matrix
    1:12:13 - Understanding the properties and methods of finding the rank of a matrix.
    1:14:40 - Identifying and handling zero rows in a matrix
    1:18:19 - Determining validity of zeros in increasing order
    1:20:08 - Understanding the validity of row echelon form
    1:25:36 - Understanding the counting of non-zero elements in a matrix
    1:27:25 - Understanding the struggle of famous inventors and their unrecognized achievements
    1:31:37 - Understanding the rank through elementary transformations
    1:33:38 - Understanding and manipulating matrices to affect rank
    1:37:30 - Understanding the concept of rank in linear algebra
    1:39:35 - Understanding the concept of rank in linear algebra
    1:43:46 - Upcoming session reminder

  • @jayantbhowmick558
    @jayantbhowmick558 10 місяців тому +6

    Notes for reference :
    1:21:40
    1:25:30 - row echlon form

  • @pushkar9908
    @pushkar9908 Рік тому +9

    @ 54:00 gajab beijatti hai yarr

  • @manavnayak3328
    @manavnayak3328 4 місяці тому +6

    sir aapke jitna easily rank aajtak kisi ne nhi padhaya. thankyou so much sir

  • @AdityaRaj-ug1sj
    @AdityaRaj-ug1sj Рік тому +1

    01:22:23 starting of row echelon form actual calculation

  • @khushichauriya567
    @khushichauriya567 11 місяців тому +5

    Amazing Session .explained in a very simplified manner. i am a bsc BT student and i understood each and every concept .

  • @AnilKumar-nw7rz
    @AnilKumar-nw7rz 2 роки тому +7

    Bahut easy bna diye sir Rank ko akdm awesome

  • @Rohit_roy__
    @Rohit_roy__ 2 роки тому +139

    Sir, I have put your picture in my mobile wallpaper because you are my role model. And seeing your photo in the morning 💪💪 keeps me motivated ❤️❤️

  • @SaloniSingh-lj3nr
    @SaloniSingh-lj3nr 6 місяців тому +4

    Sir you have a great explanation skill 🎉

  • @sudipsarkar1512
    @sudipsarkar1512 2 роки тому +6

    Sir,I am a 1st yr students, clhlg me math kuch samajh me nehi aata........bacha lena sir aap,, ase hi padana ...love you sir

    • @avinashkumar3809
      @avinashkumar3809 2 роки тому +2

      Bhai mere college me bhi yahi ho raha hai.1 din me 1 se 2 page padhate hai.kuch teacher aate bhi nahi .our bolte hai attendance 100 percent hona chahiye.isliye mai college nahi aa raha our room pe padh raha hu pw se .exam hoga February me

    • @sudipsarkar1512
      @sudipsarkar1512 2 роки тому +1

      @@avinashkumar3809 Hope, PW syllabus complete karenge bro 🥲...

  • @shatru.thehacker8291
    @shatru.thehacker8291 2 дні тому

    1:30:37 rank calculation

  • @Prince_Kumar643
    @Prince_Kumar643 11 місяців тому +7

    sir paid batch se achha content to yeha mil gya

  • @Art-of-Data
    @Art-of-Data 2 роки тому +1

    Literary 1:15:40 ye point padhke samjne me pura janam nikl jayega bagair example ke samja nahi ja sakta

  • @nishikantjana7324
    @nishikantjana7324 4 місяці тому +1

    1:13:46 row echolon

  • @ayushtripathi2004
    @ayushtripathi2004 4 місяці тому +1

    Best lecture on rank sir thanks alot ❤❤❤

  • @luckynarayani4604
    @luckynarayani4604 Рік тому +1

    After watching this lecture, मोहले की आंटी with a 2 snipers in her hand targeting to her neighbours
    ** 1:30:34 **

  • @sohamaity3186
    @sohamaity3186 Рік тому +3

    1:42:06 a11 ko 1 nahi banana kya?

    • @DheerajSharma-zb7qt
      @DheerajSharma-zb7qt Рік тому

      Exactly @gate wallah

    • @general_aptitude_gate
      @general_aptitude_gate 3 місяці тому

      No need for that. Element can be anything , just the matrix should be in valid echelon form.

    • @subhamsaurav9
      @subhamsaurav9 2 місяці тому

      It is a recommended form it is not necessary to do that

  • @hrishikeshpatil299
    @hrishikeshpatil299 2 роки тому +19

    Unmatched and unique teaching technique sir🔥

  • @chandanasai8305
    @chandanasai8305 3 місяці тому +1

    bro made math intresting for me ....luv u brother

  • @poornabhati565
    @poornabhati565 Рік тому +2

    Sir , how did you calculate the rank of the matrix with all elements as 2. While calculating the minor of 2x2 matrix , youre calculating the determinant and not minor , plz check your statements or your calculation!!

    • @e13tron102
      @e13tron102 Рік тому +1

      largest ordered minor of 2x2 is 2x2 itself, which will be the determinant of the matrix itself

  • @saurabhpalxiimaths25
    @saurabhpalxiimaths25 Рік тому +1

    58:50 done sir

  • @ankitsinha7502
    @ankitsinha7502 2 роки тому +8

    wonderful class sir your teaching style is outstanding🥰🥰🥰

  • @sudipsarkar1512
    @sudipsarkar1512 2 роки тому +1

    Sir , Aapka students sirf Hindibhashi ee nehi he, Bangalee v hain .... Love from Bengal

  • @shashankjaiswal7665
    @shashankjaiswal7665 Рік тому +3

    Class ka pdf kahan pe milega please koi bta dijiye

  • @AJITHatelA
    @AJITHatelA 2 роки тому +4

    Dear sir
    Pdf file kaise download kare

  • @Pacer2318
    @Pacer2318 Місяць тому

    Really, You are the best teacher 💘

  • @Manishkumar49-s6e
    @Manishkumar49-s6e 2 місяці тому +1

    53:00 shadii

  • @SailajaSahoo-i7x
    @SailajaSahoo-i7x 8 місяців тому +2

    1: 16: 15 samajh aaya english but apply kaise kare samajh nahi aaya AAP SAMJHANE KE BAAD CLEAR....

  • @universalwe4366
    @universalwe4366 Рік тому +2

    Where did i find the notes

  • @thebroshow673
    @thebroshow673 2 роки тому +2

    please koi notes kaise downloads kre bta do

  • @tarasingh5089
    @tarasingh5089 Рік тому +3

    Notes kha se mile ga iska 🤔

  • @Shòřťsbreak-Ss90
    @Shòřťsbreak-Ss90 Місяць тому +1

    Minor kya hota hai?

  • @christinajoseph3853
    @christinajoseph3853 Рік тому +3

    19:51 can row and col transformations occur simultaneously

    • @001Rumi
      @001Rumi Рік тому +2

      no, you can choose either row or column transform

  • @jayantachakraborty6066
    @jayantachakraborty6066 Рік тому +2

    Pdf kaha milega iska??

  • @DeepMathematics67
    @DeepMathematics67 Рік тому +1

    Sir is formula ka method bataye kese isko solve kr skte hai i got confusion in solving it plzzz sir

  • @Aero_090
    @Aero_090 Рік тому +2

    Can I attend this lectures ?
    I just passed 12th amd my BTech is going to start from August?

  • @snagar369
    @snagar369 7 днів тому

    37:32

  • @sandeepmallik1340
    @sandeepmallik1340 Рік тому

    33:22 can anyone explain where he got C value ?

  • @anuraggupta2784
    @anuraggupta2784 Рік тому +5

    How to get these pdf ?

  • @vrengineers2462
    @vrengineers2462 Рік тому

    43:12 can any one explain it ?

  • @Jyoti_Pooja
    @Jyoti_Pooja Рік тому +1

    54:45 Sir apki shadi ho gai kya?? Sir waise aap padhate bohot achha ho

  • @dhruv28226
    @dhruv28226 Рік тому +3

    kya hum elementry transformation mein Ri--->Ri+kRj ki jagah Ri-->kRi+Rj likh sakte hai?

    • @rahulkumar_5520
      @rahulkumar_5520 Рік тому

      Yup, because here you are performing to elementary operations at once that is scaling and row addition

    • @himanshu3801
      @himanshu3801 Рік тому

      No buddy coefficient of Ri should be 1.... Always... Sir has told this in previous videos also... don't get confused... This rule is always the same

    • @dhruv28226
      @dhruv28226 Рік тому

      @@himanshu3801 okay thank you brother 👍🏻

  • @franky_shubh7741
    @franky_shubh7741 2 роки тому +1

    #MAZA AA GYA GURU JI

  • @abhaychauhan3832
    @abhaychauhan3832 8 місяців тому

    Maza aavi gayi❤❤

  • @universalwe4366
    @universalwe4366 Рік тому +2

    Where can i get the notes

  • @vinaytyagi7787
    @vinaytyagi7787 Рік тому

    Sir, this crash course isn enough for preparation or we have to take subscription

  • @Educate-Advise-Zone
    @Educate-Advise-Zone Рік тому

    59:25

  • @NitishKumar-hm9sj
    @NitishKumar-hm9sj 5 днів тому

    How to get notes of this entire lecture

  • @shashankkumar6425
    @shashankkumar6425 2 роки тому

    52:50

  • @shivampandey1404
    @shivampandey1404 9 місяців тому +2

    Ye video khatam kyu nhi ho rhi hai....😕😕😕

  • @Educate-Advise-Zone
    @Educate-Advise-Zone Рік тому

    1:26:42

  • @aartichauhan843
    @aartichauhan843 2 роки тому +2

    Dpp kab upload karoge

  • @SailajaSahoo-i7x
    @SailajaSahoo-i7x 8 місяців тому +1

    ITNA GADHE KOI HO SAKTA HAI KYA ?? P & C TO 11TH KI CHAPTER HAI 38:01 YE JAROOR 10TH CLASS KI BACHA HOGA JISKO YE DOUBT HAI....

  • @Rks57y
    @Rks57y Рік тому +1

    Sir ye lectures semester 1 ke useful h ya gate based content h?? Ye lectures krlu toh engineering mathematics complete ho jayegi? Anyone pls tell

    • @jishnupaul
      @jishnupaul Рік тому

      nhii hoga

    • @Rks57y
      @Rks57y Рік тому

      @@jishnupaul pura nahi hoga ya 20,30% skip hoga??

    • @jishnupaul
      @jishnupaul Рік тому

      @@Rks57y mein bhi abhi 1st sem mein hii huun , yeaha see khali tum linear algebra complete hoga baki hamara syllabus mein calculus boh sab nhii hoga , abb tum apna syllabus check krke topic wise padd skte hoon

    • @Rks57y
      @Rks57y Рік тому

      @@jishnupaul konse college se Bhai, branch?

    • @jishnupaul
      @jishnupaul Рік тому

      @@Rks57y mera cse hain , west bengal mein tumhra

  • @IITianfromIITkanpur
    @IITianfromIITkanpur 4 місяці тому

    Sir 1.42 pe A11 ka leading element to 1 banane padhega na

  • @krishnapatel8872
    @krishnapatel8872 Рік тому +1

    Sir, how to download this pdf file.

  • @floraldream22
    @floraldream22 2 роки тому +1

    Very good lecture but bombarded with ads left and right 😭

  • @nishantdiwakar2471
    @nishantdiwakar2471 3 місяці тому

    Koi btayega notes kaha par milenge

  • @rajshripal848
    @rajshripal848 Рік тому +1

    very helpful

  • @karankaranbiswal
    @karankaranbiswal 7 місяців тому

    sir app kasi bakt online ate hooo batao plss

  • @amaraofmechanical8246
    @amaraofmechanical8246 2 роки тому +4

    Rank matlab shadi 😝😝... Naukri lag gaya but i ladki ghanta bhau deta

  • @BadalKumar-jd6vo
    @BadalKumar-jd6vo Рік тому

    Sir aap rank me normal/canonical form nahi bataiega

  • @flyingpakhi3955
    @flyingpakhi3955 Рік тому +2

    great explanation sir😁

  • @saurabhbhatt7642
    @saurabhbhatt7642 Рік тому

    How to get notes

  • @dhanyapenugolu2734
    @dhanyapenugolu2734 Рік тому

    For rank a11 need nod to be 1? Sir

  • @RadhaKrishna57378
    @RadhaKrishna57378 Рік тому

    Team @Gate_Wallah please tell ,how to access this pdf notes of engineering mathematics 🙏

  • @anjalinigam2244
    @anjalinigam2244 2 роки тому +1

    Thanks sir 🙏❤️

  • @ayushgupta8803
    @ayushgupta8803 2 місяці тому

    Notes ?

  • @gauravS_07
    @gauravS_07 Рік тому

    Thank you sir 💙

  • @nitingavandi326
    @nitingavandi326 Рік тому

    Sir MCQ kaha milega

  • @A.J_Gaming-ts5is
    @A.J_Gaming-ts5is Місяць тому

    Complete 💯

  • @AnkitKumar-kz3mm
    @AnkitKumar-kz3mm 2 роки тому +2

    Where can we get DPP solution?

    • @GATEWallahbyPW
      @GATEWallahbyPW  2 роки тому +1

      To download Lecture Notes/DPP, Visit Engineering Mathematics GATE Crash Course Batch in Batch Section then go to MCQ Marathon Series section of PW App : bit.ly/GATEWALLAH
      Other Query : Missed Call Number for GATE Related Enquiry : 08069458181

    • @universalwe4366
      @universalwe4366 Рік тому

      ​@@GATEWallahbyPWsir ye batch hi nhi mil raha

  • @ritikpawar1825
    @ritikpawar1825 2 роки тому +1

    consistency

  • @rajkumarrai3609
    @rajkumarrai3609 3 місяці тому

    i think things can be precise as well dont think we need this much long lecture

  • @das003
    @das003 Рік тому

    bhai koi biomedical engineering se hain? Hain toh pls bolo aur mujhe kuch book suggest kro

  • @bharatkalokhe4463
    @bharatkalokhe4463 2 роки тому +2

    Rank of matrix 🔥💯

  • @deepaksainis-cubeproductio2407
    @deepaksainis-cubeproductio2407 3 місяці тому

    Koi notes ki pdf bhej skta hai kya??

  • @Jam2024maths.
    @Jam2024maths. Рік тому

    I am iit jam mathematics student ..

  • @PARTHSHIROYA-w5d
    @PARTHSHIROYA-w5d Рік тому

    yes sir

  • @sparklesoch4098
    @sparklesoch4098 2 роки тому

    Sir your going to change education system through great teaching. Your all teacher are best in teaching. But please improve your problems solving team. They unable to solve our problems. Bymistakenly i purchased worng batch I want to change batch ,I complained it in contact us section, till now no responsed .please sir 🙏 focus on this it's my humble request.
    ~your student gate civil 2025

  • @continnum_radhe-radhe
    @continnum_radhe-radhe 6 місяців тому +1

    ❤❤❤

  • @Koshinderkumar-vm9nv
    @Koshinderkumar-vm9nv Рік тому +1

    Ha

  • @shivarajeswari5898
    @shivarajeswari5898 Рік тому +1

    🔥

  • @sonalisupriya_3834
    @sonalisupriya_3834 2 роки тому +5

    Unmatchable 😍😍🤗🙃

  • @NaturesVibee
    @NaturesVibee 2 роки тому

    majaa aa gya sir

  • @Sakshisingh01747
    @Sakshisingh01747 2 роки тому +1

    Thanks a lot sir 🙏

  • @PARTHSHIROYA-w5d
    @PARTHSHIROYA-w5d Рік тому

    sir det change matrix change

  • @akashkumar-vg5kt
    @akashkumar-vg5kt 2 роки тому

    Yes

  • @IQshorts2384
    @IQshorts2384 Рік тому

    agree

  • @PARTHSHIROYA-w5d
    @PARTHSHIROYA-w5d Рік тому

    elimentary changes

  • @deepayanmandal2216
    @deepayanmandal2216 Рік тому

    Thank you so much sir!

  • @YashGupta-ve8hw
    @YashGupta-ve8hw Рік тому

    nicest video on rank loved it

  • @anshulprakash5334
    @anshulprakash5334 3 місяці тому

    GolMez sammelan 🤣🤣🤣🤣🤣

  • @moumitapal1566
    @moumitapal1566 Рік тому

    Shaadi ho jayegi🤣🤣🤣

  • @innovationthatexist4042
    @innovationthatexist4042 Рік тому

    chore ncr aale

  • @siddarth_jain
    @siddarth_jain Рік тому

    The purpose of finding rank is to find the solution of system of equations. Kuch bhi bol do nhi bnne toh🤦

  • @akashkumar-vg5kt
    @akashkumar-vg5kt 2 роки тому

    3

  • @gautamgupta101
    @gautamgupta101 Рік тому

    Mohalle ki aunty wants to know your location sir

  • @electryx_16
    @electryx_16 Місяць тому

    23nov24