JEE Mains 2025: Esa DETERMINANTS kahin nhi padha hoga! Very DEEP and UNIQUE! | JEE Advanced & Main

[@Ashketchum2025-i7b]

Observ 1 : 2:15:31 / 3:43:47 Observ 2 : 2:34:13 / 3:43:47 --------------------------- Curiousity popped in my mind during lec : why determinant is only for square matrix ??? The reason determinants are defined only for square matrices is primarily related to the geometric interpretation of determinants and their role in linear transformations and systems of linear equations. One reason is that the determinant can be thought of as a measure of the scaling factor of a linear transformation. A linear transformation is a mapping from one vector space to another, and a square matrix represents a linear transformation from a vector space to itself. For example, in 2D space, the determinant of a 2x2 matrix represents the scaling factor by which the area of a shape is stretched or compressed when it is transformed by that matrix. In 3D space, the determinant of a 3x3 matrix represents the scaling factor for volume changes. If we have a non-square matrix, it represents a linear transformation from one vector space to another vector space with a different number of dimensions. For example, a 2x3 matrix…….What would the determinant of this matrix represent? We could think of it as the ratio of the volume of the image of a unit cube under the linear transformation represented by A to the volume of the original cube. But this ratio is meaningless, because the image of a unit cube under a 2x3 matrix is not a cube! It is a parallelogram in four dimensions. . In this case, it doesn't make sense to talk about a scaling factor, because we are comparing the volumes of objects in different dimensions. Determinants are used to determine whether a system of linear equations has a unique solution, no solution, or infinitely many solutions. determinants are used to check if a square matrix is invertible (i.e., it has an inverse matrix). If determinants were defined for non-square matrices, the geometric and algebraic interpretations of determinants would not align with the fundamental properties they possess in the context of linear algebra. Therefore, it is not possible to define the determinant of a non-square matrix in a way that is consistent with the geometric and algebraic properties of the determinant for square matrices. One last important note is that the determinant only makes sense for square matrices. That's because square matrices move vectors from ‍ -dimensional space to ‍ -dimensional space, so we can talk about volume changing. CREDIT : QUORA --------------------------- observ 3 : 2:45:37 / 3:43:47 Cauchy Generalization: 2:55:34 / 3:43:4 ----------------- About Cauchy : Augustin-Louis Cauchy Baron ( 21 August 1789 - 23 May 1857) was a French mathematician, engineer, and physicist. He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis), pioneered the field complex analysis, and the study of permutation groups in abstract algebra. Cauchy also contributed to a number of topics in mathematical physics, notably continuum mechanics. "More concepts and theorems have been named for Cauchy than for any other mathematician (in elasticity alone there are sixteen concepts and theorems named for Cauchy). He was the first to proved Taylor Series and have some significant contribun in calculus and practical engineering. Cauchy was a prolific worker; he wrote approximately eight hundred research articles and five complete textbooks on a variety of topics in the fields of mathematics and mathematical physics. If u see his image on google he appears like vladmir putin ( president of russia ) seriously 😆 😆. ------------------------- obsv 4 : 3:12:21 / 3:43:47 obsv 5 : 3:23:56 / 3:43:47 WOW Moment Take screenshot : 3:29:06 / 3:43:47 Obsv 6^ : WOW Moment Take screenshot : 3:34:18 / 3:43:47 obsvn 7 : 3:38:12 / 3:43:47 EPIC MOMENT SCREENSHOT MUST HAI : 3:40:46 / 3:43:47 -------------- Finally, done with the lecture I have studied this ch. but, was not satisfied why all these things are happening for which purposes so many quesn in mind and also rem. the whole property despite question was out of my reach but, now it's time to take the control all credit goes to MU. It's the beginning of Linear Algebra. -----> linear algebra, mathematical discipline that deals with vectors and matrices and, more generally, with vector spaces and linear transformations. P.S - Anyone at any time reading this comment and watching this epic masterpiece on determinat u can used these observn to make notes or for revison + I have included some general facts only bcoz of curiousity came during lec 🔥 🔥. Enjoy this at fullest u will be in mathematical paradise 😍!!

[@firestorm1187]

Yrr tu bhut sahi hai yrr ✌️

[@CATS139]

Wtf how much time u took it to write ?

[@Ashketchum2025-i7b]

@@firestorm1187 thanks bhai :)) Everyone who is here is the part of immersions.

[@Ashketchum2025-i7b]

@@CATS139 during lectures only.

[@vijaylaxmivyas3053]

Genius spotted

[@believerboy9120]

Lucky are those jo bhaiya se determinants full length lectures se padhega next year se😌 This depth and the way of explaination🤌♥️

[@Mahi-Fy]

Har baar sochte the ki yrr ye determinant ka to koi sense hi nhi bnta.. kuch bhi pdhna pd rha..aaj pta chl rha ye determinant asli me chij kya hai..🫡 n i was like dammnnn mannn!!😳🫡🔥Reall beauty is here guysss.. watch his lectures...whether after exams or years later or whenver.. just watch them..🫠💯 totally worth it !!!

[@JidankarKalita]

SANDAL BHAIYA RESPECT BUTTON✅✅✅✅

[@KunalSharma-yo4rp]

Premiering

[@xavier5974]

Hoi niki dada

[@KartikKhiwal]

Sandalwood army

[@hezareax]

Brainrot has reached MU's community too

[@UrGoatnaldo]

Chandan bhaiya zindabad

[@krishrawal6208]

Bhaiya bhot mast session tha.mai dropper hu aur maine ye chapter bhot baar padh rkha hai but aaj tak kisi ne bhi ye explanation nhi di ki ye determinants ka origin kaha se hua,sab bta dete hai ki ye determinant hota hai and ye uski properties but aaj pehli baar pta lga ki determinants aise aye the.yehi chiz hai jo aapko baaki sab se different bnati hai.aap jaise padhate ho vaise hi actual mai kisi bi subject ko padhana chaiye but sab aajkal bas typewise questions kara ke ratta dete hai ki agar is type ka problem aye toh isko aise solve krna jis wajah se subject ki kabi feel hi nhi aati toh usse pdhne ka bi man nhi krta.thank you for teaching in this way woh bi ek "crash course" mai ❤❤

[@anuragsarkarjeeaspirant]

finished at 4am.concepts saare revise ho gaye,aur new chize bhi sikhne ko mila! looking forward to the pyq session

[@abhirajsingh8452]

Pure beauty of mathematics ❤, the way he explains and teaches shows why he is confident in his style .

[@CrudeBird9870]

Bro taught so well that i was in a confusuon wherher to make notes or keep on listening him and at the end i decided to listen him and left making notes. 😢now will have to watch again to make the notes

[@arnavsharma-lm5qm]

2:55:41------systematic notes

[@PremPatel-x6t]

Now I can explain this whole session to anyone, Clarity is on that Level. THANK YOU

[@xdfdgfgvh-tb4dq]

Chapter ka Concise summary From 2:55:28 - 2:59:27

[@AdityaYadav-hm1rh]

2:44:28 why would the variable change??? Like youve shown eqn 1 having variables {x11, x12, x13 ......} and eqn 2 as {x21, x22, x23 .......} equations alag honge so coefficients alag hoge thats for sure but varibales to same hi rahege na????

[@believerboy9120]

Wow moment 1:08:04 and 1:08:45🤯❤️

[@shreyagupta9865]

such a damn inspiring guy tbh. heartfelt thanks.

[@vlogbold4129]

its 1:30 am and i am done with the chapter determinant i got everything in this session , thank you bhaiya i was literally a robot in this chapter didnt know from where this mathematics part fell into the syllabus and how everything discovered in a way

[@bhavya407]

2:12:37 Bagula trick acha hai Par Laplace wala tarike tips pe hai toh Bagula wala thora complicate ho rha speed wise

[@AbhijitChauhan-83]

Bagula is easy bro 🕊️

[@user-gz5jw5fr7u]

Cauchy bhai summarizing things 🔥

[@richa82728]

daam excitedd for thiss one sir 🔥🔥🥹

[@IshigamiSenku-lz2sm]

aapke videos dekhne ke baad mujhe yaad aaya ke 10th me aur usse pehele bhi mujhe maths me interest tha mene khud se 3 degree eqn ke roots nikalne ke koshish bhi ke thi maths ke duniya me aata jata reheta tha. fir pata nahi kya hogaya 11th se maths bilkul hi chord de but now I am back on track and in this immersion thanks to you.

[@MohammadTalha16]

39:36 - Fundamental Idea used -> Unknown to Know problem.

[@feverdreams0112]

will he do lecture on matrices?

[@someoneonearth7543]

WOW WOW WOW WOW. Blew my mind SO MANY TIMES this is such a gem 💎🔥🔥

[@believerboy9120]

Currently 1:15am Mesmerized by the beauty of how determinants would have been discovered😲 u r truly gem bhaiya💎More power to u💫 Luv u bhaiya❤

[@fe-uw2kz]

1:03:31 oh god bhai for real that feeling after listening ki n! honge aur pehle se man me aana can't express real ....

[@jyothiswaroopsajja1590]

There are so many wow momnets, but they seems came from very basic fundamental thinking which you took that session of eye opener for jee main and observibg the changes in all session theory and pyq sessions, so ,really good session on determinats and solving system of equations ❤, even if i got dought ,iam thinking my self habituated instead seejng from you again video or seeing solution, that learning stays with you ,, jo aya dekha jayenge 🔥

[@richa82728]

i just love ki how such a random story in the starting goes creating such a great thingss , i got goosebumps when that faltu sa expression in x got converted into determinant... you are literally mathsmagician❤❤🥹i am seeing these day my hate for maths being converted in love for maths ........you are great just teach however you wish those who know they what content you are delivering in free ... ignore the haterss we loyal , ideal students are always with you 💗😊😊

[@hiral_kumar]

2:12:37 this bagula trick is way handy than the sarrus rule...liked it..❤❤

[@Redmoon-ke5rw]

Completed.. I love how everytime sir gets excited i also get excited ik something fun is going to happen 🔥✨

[@ShardulHande]

Bhaiyaa kaha se kaha pahucha diya absolutely loved it aaj tk kabhi koi lecture lagatar 4 ghante tk nhi dekha , par aapne jo session mei bna ke rkha maza hi aagya thankyou bhaiya , new comer hu dheere dheere krlunga sab 💪🏻🗿

[@vlogbold4129]

REVISION PART OF THIS LEC NEEDED FOR PROBLEM SOLVING 3:01:34

[@sumitsinghyadav285]

@@vlogbold4129 bhai number theory determinants ke bad karni hai na

[@Vanshikhasharan]

Bhaiya aap advanced ke liye bhi kuch laoge kya 🥹🥹

[@aseeker2559]

Bhaiya which software do you use for writing?

[@omkarsalve2929]

Bhai theory recorded hi best hain ❤ yeh bhi achha hain no problem ❤

[@kashyaptandel5212]

1:39 over an year I’d wanted those words from you. Finally it’s here!

[@ammarmahmood3812]

Jabse mai paida hua hu aajtk system of equation nhi aaya but aaj bhaiya aapne kya jaadu krdiya😂 ki jee ke pyq banne lge❤ determinant ke abhi to aapne prob solving session nhi krwaya jabki

[@kshitizaggarwal4850]

System of equations hai hi aisa topic bhai.. theory pdhke ban jate h sawal.. same variety rhti h usme

[@HemaShill]

Thank you ❤

[@fe-uw2kz]

1:15:00 kasam se keh rha hu bhaiya mai socha tha common lene ko fir dikh bhi gya tha determinant bhai kasam khake keh rha abee bhai feelinggg oh my godddd

[@kashyaptandel5212]

1:15:56 the fact that this also gives idea why value of determinant doesn’t change whichever way you open , sir you are truly a treasure to humanity🫡

[@aseeker2559]

2:01:46 continue from here.

[@the_stoichemist]

1:09:31 when bhaiya said yahi toh determine kar raha h i understood we are in world of determinat

[@harshitsingh1676]

1:43:23 y nikalana higa to b ko d me kyun kar hoga?

[@Aspirant_j2025]

Excited ❤🔥

[@ZenJEE1]

Ye chapter 3 alag-alag teachers se padh chuka hu par iss level ki clarity kabhi nahi mili, sirf ratta mara tha iss chapter ko. W Lecture🗿 also W Educator🗿🗿🗿🗿

[@xmartStudyShed]

kaha kaha se padha bro??

[@KAB1Redits]

Dont you think teesre baar padha isliye tumhe clarity aayi? not because of switching of teacher but bcz of learning same thing for the third time?

[@Chill45-r4i]

​@@KAB1ReditsBro is just an ass licker

[@ZenJEE1]

@@KAB1Redits Aree bhai 3 baar padh liya tha par pura chapter sirf ratta tha issliye par Kal clarity mili ki aisa hi kyu hota hai

[@ZenJEE1]

@@pankajupadhyay4150 tk sir, sachin sir, arvind kalia sir🙂🫠

[@sakshamray8679]

Sir mujhe doubt tha 1:47:00 se dekhe toh aapnne samjhaya hai determinant ke andar change kr dene - ajata hai toh for example koi system of linear eqn hai Q1. x+y+z=1 2x+y+z=2 3x+2y+z=3 Q2. x+y+z=1 3x+2y+z=3 2x+y+z=2 order change krke qn agar dede toh pehle wale ka det(Q1)= X maan le toh det(Q2)= -X ajayega toh x(Q1) = something/X and x(Q2)= something/-X par agar dono system same hai toh dono x bhi same hona chahiye par ek me minus ajara hai niche ek me nhi fir kuch gadbad nhi hoga?

[@divyansh5251]

This is just pure Bliss, Never got such intuition behind it ❤

[@vatsalshinde1252]

bhaiya today is my maths exam and matrices and determinants is coming lets see how it goes

[@vatsalshinde1252]

bhaiya honestly the determinant revealing part was a mind blowing part for me i just loved it, btw if you can do it in english , then it will be appreciated by even more people

[@aditrydebroy9663]

Hey , is conic sections going to be covered ? If yes when ?

[@kunalbhatt2822]

2:16:10 garma garm naan khataii khaiye😂😂😂

[@abhinavpandeyx-br.no-3415]

Always feels like learning something very important and interesting

[@ritobratasarcar9227]

sir enjoyed the session a lot and cant wait for the pyq session, sys of eqns wala part boht ache se smj aa gya cuz me har eqns ko graphs se imagine krta hu and boht clarity a jati he by what u say. but at 3:28:30 ke andar cases wala (no solution jisme ek condition aur leni chahiye....) jo apne bola wo smj me nhi aya, kya ap us chiz ko nxt session ke andar ache se smjha skte ho warna dimag me boht irritaion hoti h...

[@shauryadogra4659]

ALL I GOTA SAY IS SIR FEEL AAH GAI FR FR 🔥🔥🔥

[@YoSoyShivam]

Thank God i have found him 🤗🤗🤗

[@aryanbhushan6940]

the way u discovered this that completely mind boggling for me u have changed my way of thinking

[@dishu.2128]

Best channel and best teacher

[@Raxx_Bhai]

To expand a 3×3 determinant, there are 6 ways. To expand a 4×4 determinant, there are 48 ways. To expand a 5×5 determinant, there are 480 ways. To expand a 6×6 determinant, there are 5760 ways. Mtlb if there are m ways to expand a n×n determinant, then there are 2(n+1)m ways to expand (n+1)×(n+1) determinant. Karke dekh lo analyse, reason apne aap samajh aa jayega.

[@ChinmayaKrishnaB-b5y]

1:34:45 continue ❤

[@vatsalshinde1252]

bhaiya honestly i will watch this session a 1000 times i am getting goosebumps

[@devesh.....]

Sarrus ji ka desi version - Bagula OP !!

[@jeeaspirants-bl2bn]

Complete in morning 10:55 14/11/24

[@RoshniSingh-l8w]

Loved it❤

[@sssyphs]

I am still confused ki JEE ke batches me aise kyu nahi padhate meri 11vi, 12vi me ek baar bhi is level ki understanding nahi baithi and same in drop year, even though IK how to solve the questions now but still understanding nahi baith pati, Determinants maine 2 baar padha and kuch samajh nahi aaya cause sabse ambiguous topic hai jee me along with complex numbers jiska koi purpose dikhta hi nahi but aaj finally ache se aaya samajh

[@protonmind3528]

1:33:05 Let us rat this 😂

[@dipanshubhardwaj3059]

I am attending determinates class 4th time in my life but first time i have clearity thankuu so much sir 💞💞💞💞❤❤❤💘💘💘

[@TarunKumar-xd5qx]

determinant ek tareke se ek new function tha jo unhone apne need ke hisab se discover kiya is it? and kya sare function ese trah se discover hote hai

[@UnacademyAtoms]

Yes yes yes! Vandermonde was the first to take that as a independent function, applying it on his polynomial interpolation creating the famous "vandermonde matrix"

[@studygyal]

2:31:15 / 3:43:47

[@sajalverma7255]

sir you are amazing😍 mtlb mja aagya padhke jab aap vo coefficients same banakar khol ke X ki value likh rahe the tab i was literally amazed and after seeing the observations i was like ki "ye aise hota hai jise mai do saal se ratt raha tha" i was truly a masterpiece and can bet there is no other determinants video like this ......and sir i have sent you all my work but i did not admitted in the UNBEATABLE warrior group plz add me

[@Fifa_Creed]

Sir begula wale trick se toh maja hi agaya wahhh din safal hogaya 🔥🙌

[@arNnaB9907]

58:49 i was kindda getting bore then i thought its not made by someone its how nature made it I got goosebumps

[@theLifeCoach00014]

what is the best way to attend the pyqs session?

[@OjasAgrawal-i2v]

9:45 to 11:05 Pm BREAK (13/11/24) then 12:55 to... 1:45am ✔ Great session, Hoped to understand how INCONSISTENT solution for Infinite solution wala but u didn;t :( hope it comes in solving sesion

[@Arush-rm6ti]

Starts at 3:25

[@Dildarhubhaii01]

19:36 bhaiya ye balloon kyu udta h😭

[@AbhijitChauhan-83]

🎈🎈🎈

[@pihu12996]

Ye macbook ka ek feature h😭

[@KaatilKelvin-uo1jc]

Is it just for determinants or matrices is also included

[@kshitizaggarwal4850]

Det. Only

[@Xicoric]

damn what was that scream at 1:05:50

[@AkshatJain-m2n]

Minecraft

[@StudyPoint-k2i]

06:42 chalo gym jaane ke fayde he 🤣👍, at least macros ke through hi padhlunga

[@Mogge_506]

Exactly 😂

[@Skilledsportscentre]

Bhai n x n ka determinant hai to terms n^2 honge shayad....

[@dismyhandle0901]

bhaiyya can i follow ur unbeatable crash course for ISI preparation????

[@iamumng8461]

Is is only determinants or it has both ( matrices & determinants ) ????

[@AryaIitian]

There will be another session on matrices

[@ApniKaksha_bonded]

2:14:11 begula

[@Lingappa.HLingappa.H]

Ap link deya hai apke va melega kya. Mene link link open keya vo subscription mangraha hai

[@UnacademyAtoms]

Telegram pe daale h saare free h notes

[@Lingappa.HLingappa.H]

@UnacademyAtoms sir how to open

[@nikhar-h3m]

got totally immersed in this lecture bhaiiyaa , it was full of wow moments ❤‍🔥

[@thecrickpressyoutube3483]

please bring typewise PYQ sessions back, they seem to be more helpful than FPS for upcoming mains. thanks a lot

[@ritobratasarcar9227]

not atr all

[@gktv2740]

yup, to be honest, recorded typewise PYQ sessions >>>

[@inquistivecorner]

​@@gktv2740yeah, i second this, would be great if we get the 2024 styled course - recorded and typewise ✨️

[@inquistivecorner]

​@@ritobratasarcar9227 why? dont wanna waste time on discussion but aren't they more effective and digestible?

[@AnushkaRakshit-anu]

Thank you sir for this amazing session ❤

[@Aryan-sz6vt]

Bhaiya best session of determinants i hope you will maintain this level of explanation maine to 1.25x pe dekha kyunki ye nahi jyaada tej hota hai na jyaada slow. Love you ❤❤ bhaiya 🔥🔥🔥

[@PadhayiKarenge]

damn hard to believe that i didnt knew exactly what determinant was

[@ayushraj8572]

3:22:15

[@MadhavSah007]

Was waiting for this session since ur podcast with arvind kalia sir❤ In that u told about the way to study determinants...

[@Lingappa.HLingappa.H]

Sir notes ka milega. Sir please reply

[@IITMotivation99]

Thank You Bhaiya ❤

[@anukriteenegi]

bhaiya i am a person who is also following this cc but I am not at literal zero level. I have some proficiency in chapters (as I was in coaching from XI), any tip for me on how I can further enhance my level with your cc's help?

[@kashyaptandel5212]

Tell me too if you get answer

[@thelastpersononearth9765]

Attend only question session.

[@kashyaptandel5212]

@@thelastpersononearth9765but this video alone is something you can’t experience ANYWHERE else

[@thelastpersononearth9765]

@@kashyaptandel5212 Bs 2 mahine bache hai. Experience karlo pehle.🤡

[@ANIMATIONIVERSE]

sir determinats ka notes ka milaga sir

[@curiousnet26]

loved the session

[@mrasmr0]

Hlo bhaiya, i am literally 0 in maths i have studied some chapters from coaching but not able to solve questions bhaiya abereko aap ke crash cousrse ke baare me pata mene aapke sequence and series tak ke session kar liye toh kya maai determinants se start kar sakta hun

[@JEEWORRIER_]

Thnx you so much bhaiya ❤ Dammm bro !!!!!! Koi aisa padha to sakata hai but itana acha nahi padha sakata ❤ Bhaiya i am obsessed with your teaching now ❤❤❤❤❤❤

[@ASR-eu9jt]

Why this 3 hour 43 min so common

[@mineevolve8542]

sir calculas portion firse padhayenge ya whi purana wala lec hi chalega

[@VishalKumar-qx7ez]

bhai tum kaha se graduated ho itna kam age me itna kmowledge kaise bhai

[@LoveJEEMaths]

I can skip everything but not the intro ❤

[@ADPcoachingcentre]

where is pyq session????? plss tell