CSIR NET July 2024 Mathematics Solution | Fully Short Cut Tricks

[@DrHarishGarg]

Small Correction, please correct: *2 is an eigen value of the transformation T.* I forget to write (coeff. of x^3 as 0 in Horner method). Also, we can see 2 satisfies the equation T^4 -15T²+10T+24I=0

[@hirakkumarroy4350]

That means option a correct also

[@Justyourkaran]

@@DrHarishGarg Yes sir 24:41 this Qn was in part C(4.75 marker)

[@nerdhayafs62525]

Sir plz make classes on concepts each day

[@Priyansu_1995]

You are a very great teacher sir...we are lucky having your constant support....

[@DrHarishGarg]

My pleasure.. Hope you like the video. And keep watching.

[@Priyansu_1995]

@@DrHarishGarg Yes Sir...your uploaded videos are just like the magic of maths....greatly benefitted sir...👌🙏💐

[@saranyams2743]

Thank u so much sir. Sir please many more videos for important topics and notes to helpful for clear the next exam for me. Again thank u sir. U are the best teacher.

[@sunilkumarchauhan6004]

22:15 2 is root of the equation

[@rajithak2606]

Thank you sir, this time i didn't written exam well but i learnt many concepts from your videos sir and i have a confidence that next time i can do well ,,please keep on doing classes sir🙏

[@SiddhantSahu492]

Sir aapke concepts and tricks bhut use ful hai Coching mafia bhi eta acha content nhi provide kar pate

[@parulchhabra7766]

Thankyou sir ..your shortcut tricks and concepts helped me alot🫰

[@Justyourkaran]

Thankyou sir for your quality content throughout our journey. There were many direct Qns from your shortcut tricks. I solved part C interpolating polynomial, group homomorphism Qns just in 15 secs. And many more qns where I could apply your tricks.

[@DrHarishGarg]

Wow... Dear.... I am so happy that my efforts will pay you and you can achieve the success..... Keep encouraging other to watch and learn through the videos free of cost ..

[@Vsa.buddyrocks3893]

Thanks for your video sir. Your video is very useful and motivated sir😊😊😊😊

[@rameshl3851]

Sir, thank you so much your classes helped me a lot from past one month . I have done my best from ur class. Please continue the classes

[@steel679]

Sir ap nhi jante ki ap kitna help kr rhe hm jaise students ka,ap hamare liye bhagwan ke hi barabr hai ❤❤❤thankyou so much, ap hai to aisa lgta hai maths bahut easy hai ❤

[@rakesh9257-l4u]

Great mathematician

[@DrHarishGarg]

Many thanks... Kindly share the videos with other students tooo...

[@aromalms7668]

Fake account confirmed

[@yashrajtripathi4832]

Thank you sir... your videos and short cut tricks helped alot in yesterday's exam

[@DrHarishGarg]

Glad to hear... Thats great pleasure... Keep watching and sharing with others too so that others students also learn free of cost. Kindly like the videos too

[@aravindr4676]

More decided professor, i seen all your video of linear algebra, complex analysis, integral equation, calculus of variations, lpp, PDE. After i seen all your video i got idea to solve yesterday examination. I'm so happy because i can able to solve and give counter in each question. Thank you Sir 🙏

[@ManojKumar-fj2yi]

Thank you sir, very clearly and shortcut creating wonderful sir

[@kritikagrover4980]

Sir We really appreciate your hard work. We will always be thankful to you for this. You are a gem sir🙏🏻🙏🏻

[@DrHarishGarg]

My pleasure always for all of you. .. Hope you like the video. And keep watching.

[@anuragpandey4912]

Thank you so much sir 🙏🏻

[@DrHarishGarg]

My pleasure.. Hope you like the video. And keep watching.

[@sajidismail8463]

Great ........sir really perfect.....

[@sheemanitinsan7235]

Sir aapki vjh se exam acha hua questions samjh aa rhe the ♥️

[@bharathitex9746]

Thanks sir for your great work

[@celinfionaj4696]

Thank you so much sir

[@SiddhantSahu492]

Thank you Sir ji

[@aslicodes9736]

thanx for solution sir😊

[@julioarapa6480]

thank you

[@pwn8500]

Thank you sir

[@RengalakshmiBabu]

Very nice sir

[@DrHarishGarg]

Many thanks... Kindly share the videos with other students tooo...

[@chauhanpriyanka9871]

Thanku sir

[@DrHarishGarg]

Its my pleasure ... Keep watching and like the video.

[@Justyourkaran]

11:48 here kindly improve option 4 : x^2+2 y^2- 3z^2 (as per original Qn- also the correct ans to that Qn acc to me)

[@DrHarishGarg]

Yes, that is also indefinite ... Thus, this is also correct answer ...

[@Justyourkaran]

@@DrHarishGarg I'm 💯 sure sir this was the original option! 🙂

[@bhagavathisakthi3329]

Thank you for ❤

[@aakashmahapatra4175]

22:30 2 is an eigen value it's satisfying the given polynomial

[@DrHarishGarg]

Yes, i already mark it in the Comment.... I forget to write (coeff. of x^3 as 0 in Horner method).

[@SahibaanClasses]

So sir idt option true hoga??

[@SahibaanClasses]

Annihilation poly ke root se hum yeh to nhi kh sakte ki 2 is eigen value please reply sir

[@DrHarishGarg]

Given polynomila is char poly as is 4x4 order matrix..

[@SukhPreet-mp8jt]

Aap batch start kr doo sir CSIR net 2,2 subject hi pda do agr apko lgta hai apke pass time nhi hai hum tyar hai apke se pdne ko pure mathematics se start krna agr aap krte ho too jase complex or real ase doo subject lo bs or jb bhi apko time mile record kr de vedio hum dekh lengye hai guru dkshina bhi le lijye jasa hum de skte hai 🙏🙏🙏🙏 request sir 😊😊hume basic clear krne hai apse bs 😊

[@DrHarishGarg]

Already uploaded each topic videos... Check my youtube channel.

[@mymathspartner6019]

Thankyou sir

[@DrHarishGarg]

My pleasure.. Hope you like the video. And keep watching.

[@naveenchandrabookreviewand3743]

Statistics ke questions bhi included kar dijay

[@priyankapriya1505]

Thanks sir

[@DrHarishGarg]

My pleasure.. Hope you like the video. And keep watching.

[@LSaini-v2t]

6:45 field is complex then?

[@celinjoseph-x4s]

Sir can you make a video on finding one-one onto bijective all type of questions in csir net and gate, please

[@charanjeetsinghgill2100]

2 is eigenvalue sir ..so option a is also correct in taht question

[@puremathematics2271]

Thanks sir❤❤❤

[@DrHarishGarg]

Most welcome

[@rajithak2606]

S sir uff to wow

[@k.thenmozhikalyanasundaram1481]

Your are God sir

[@DrHarishGarg]

thanks for it... Hum inssaan hi theek hai 😃... Best wishes always.. Keep like and share the videos with others.

[@k.thenmozhikalyanasundaram1481]

@@DrHarishGarg sure sir

[@hiteshjoshi5924]

(2-6)(c-6)-ab=0

[@ashajangra2382]

25:48 Sir if we take matrix [ 1 0 :0 0] then range equal to null space but trace non zero ???

[@DrHarishGarg]

Im(T) =(1 0) but kernel(T) =(0 1).. Thus not equal.... Dear... As i mention another short cut tricks that T is nilpotent whenever Im(T) =Ker(T) from T:V ->V.. Also you can see Your matrix is not nilpotent... Hope it clear your doubt..

[@aakashmahapatra4175]

22:30

[@murugangan3213]

And modern algebra...all topics ..pyq series can we get sir?

[@palsingh3380]

Sir, 2 is an eigen value of the transformation T. As, T^4 -15T²+10T+24I=0 Clearly, 2 satisfies The above equation.

[@sherssk9140]

Yes option a and d are correct

[@DrHarishGarg]

Yes, i did calculation mistake..... i forget to write (coeff. of x^3 in Horner method)...... 2 is eigen value

[@DrHarishGarg]

@@sherssk9140 Many thanks... Kindly Like the video and share the videos with other students tooo...

[@ALOKPANDEY-r9x]

Good evening sir which book we have preferred for qualifying good marks in Dec csir net exam plzz tell us sir. 🙏🙏🙏

[@sherssk9140]

Tv=2v option correct ha because 2 is an eigen value

[@DrHarishGarg]

Yes, i did calculation mistake..... i forget to write (coeff. of x^3 in Horner method)...... 2 is eigen value

[@ronneysaini7763]

Plese Request to Everyone who watching sir video.. Atleast Aap log Video ko like to kar he sakte h.. Sir itne mehnat se video bante h.. Agr koi yehe Chezz paid deta naa aap log bhar bhar ke like karte.. Sab log Like nd Comment kar.. Jyada se jyada

[@Justyourkaran]

21:12 sir in which lecture I need to re-watch to revise this 1-1 function concept? For-- Rank(T)=n, Nullity(T)=0 Linear transformation PYQ video?

[@DrHarishGarg]

Yes, ... Linear transformation and Rank nullity theory PYQs

[@Justyourkaran]

18:18 sir how easily you have solved this Qn here.. it's was seeming like Everest during exam. I should have revised all your videos, would have got this correct. 😅

[@DrHarishGarg]

I told from day 1 to everyone... Just follow my videos ... They not only provide you solution, but also teach you how to hande the question and how to deal the question within 15 sec... As you know videos are free thats why less people focus on it..if it was paid then more students attract.... That's reality.

[@Justyourkaran]

@@DrHarishGarg I don't know about other's mentality, but I'm ardent follower of your work for last 2 years sir. I know it's value factor. 🙏🙏 Keep continuing these efforts.

[@murugangan3213]

Sir .. good morning complex analysis... sequence and series.and definte integrals and bilinear transformation...can we get pyq series?

[@DrHarishGarg]

Already uploaded ..... Better you can regularly check at my KZbin channel and see the playlist.... Already 250+ videos (all with short cut tricks) explained all topics of CSIR NET (Maths + statistics both)

[@Yogendra_Yadav]

Sir the question in which Image(T) =Ker(T) If I take T(x,y)=(x,0) iska trace 1 hoge so trace may or may note be zero. & Take T(x,y,z,t)=(x,-y,0,0) Whose minimal polynomial is m(a)=a(a-1)(a+2) here characteristics is not equal to the minimal polynomial

[@DrHarishGarg]

Dear..please check Ker (T) and image(T) of your example... Is it equal ?

[@PeterGuite1]

​@@DrHarishGargwhat about T(x,y)= (y,0) on R² ??

[@DrHarishGarg]

T(x,y) =(y,0) is fine because matrix associated with them is T=[0 0 \\ 1 0]. Im(T) =(0,1) =Ker(T). Also, you can see T is nilpotent....

[@pralaymondal15]

😇😊🙂

[@PrakashGupta-v7w]

Sir are you on telegram or not and also make groups for us which benifits us

[@DrHarishGarg]

Will think and try soon

[@rashmimalik9769]

🎉

[@DrHarishGarg]

My pleasure.. Hope you like the video. And keep watching.

[@justiceforsidhumoosewala6225]

❤❤❤

[@alokkprajapati]

🎉❤

[@mathspulverizer5863]

Sir but how can the first condition ab=0 not true I didn't get that

[@DrHarishGarg]

Look the second example, i gave A = [2 4 \\ 2 4 ] .. Clearly ab = 8.... Hope it clear now..

[@Motivationmaths29]

First question m 6 is one of eigen value nahi tha wherever 6 eigen value total 6 eigen value ka pucha

[@NitishKumar-tt6mn]

V vector space diya tha 2×2 matrices ka

[@DrHarishGarg]

Thanks for informing .... Kindly Like the video and share the videos with other students tooo...

[@NitishKumar-tt6mn]

@@DrHarishGarg Sure Sir

[@masterkapil6214]

Sir. Isme iska dot product zero bhi to possible h

[@masterkapil6214]

Many questions related with your trick and your concept based sir

[@7412Priyanka]

Sir plz upload remaining video lectures of CSIR NET Mathematics *Linear algebra part C 2011-24 June and dec* *Real analysis part C June 2011-24* *Complex analysis part B and C dec 2011-24*

[@DrHarishGarg]

Topic wise videos already uploaded of these subjects.

[@7412Priyanka]

Ok sir

[@selwynkumar7278]

2. Sir but 0 matrix is belongs to S. because they only mentioned every non zero matrix in S is invertible. They didn't say zero matrix isn't belongs to S

[@DrHarishGarg]

Once we will receive the full paper (official) then i will check the exact statement.... Dont worry... I will upload the solutions of complete paper when received from csir net

[@selwynkumar7278]

@@DrHarishGarg thank you for your response sir 👍

[@ankitathakur576]

Last question mai matrix First row (1,1) and 2nd row (-2, -2) le to option B and d incoorect ho rhe

[@Pbt656]

Ye matrix condition satisfy nahi karegi range space (1,-2) and null space (-1,1)

[@DrHarishGarg]

Im(T) is not equal to Ker(T).. Thus not suitable example..... Remember, as i mentioned the short cut tricks also, that T is nilpotent, so only nilpotent matrix will satisfy the statement ..

[@sumannagaura222]

Sir kesa tayari ker hindi medium se csir net in mathematics Please help me sir Request you sir

[@sumannagaura222]

Sir reply Jarer kerna

[@DrHarishGarg]

बहुत आसान है.... आप मेरे सारे वीडियोज देख लो और अच्छे से समझ कर ... नए नए सवाल को हल करो|||| आपका कन्फिडेंस जरूर ऊपर जायेगा और एग्जाम पास हो जायेगा

[@pujabhattacharjee2838]

14:10 option are not correct

[@Dkbnk]

24.33 2 is an eigen value

[@DrHarishGarg]

Yes, i did calculation mistake..... i forget to write (coeff. of x^3 in Horner method)...... 2 is eigen value

[@pralaymondal15]

Gate ma 2024 solutions please 🙏🙏🙏🙏

[@mintuchoudhury2447]

Kisi ne markove chain ka question kiya tha

[@subratpradhan3581]

Yess part B wala Mera ans 10/21 aaya tha Aur part C Wale ka options a,b,c ticket Kiya hai mereko a,c ka pata nahi tha positive recurrent hoga ki nahi but state 0 and 1 communicating class the toh dono ko ticket kar diya hu

[@DrHarishGarg]

if you have Prob and Satistics questions , send to me...

[@mintuchoudhury2447]

No sir sahi se yad nhi tha question

[@sunitakumawat945]

Kisi ne ven diagram Wala qsn Kiya h kya general aptitude me

[@sunitakumawat945]

Uska answer Kya hoga

[@hiteshjoshi5924]

Long method

[@subratpradhan3581]

Thanks sir for the lecture 🙏🙏 my real was good but for linear algebra I need to work hard 😢. I was having Introductory Probability and Statistics, Stochastic Process and Statistical Inference in MSc but couldn't use it fully in exam so only done Markov chain questions and one of the easy distribution function question.

[@DrHarishGarg]

Don't worry.... I wish you will qualify the exam soon.... Just follow the videos .. Lie and share with others too

[@naveenchandrabookreviewand3743]

Sir included statistics questions

[@DrHarishGarg]

If you have questions... send me... i will include..

[@Harish-Dhar-Deewan]

Sir hindi me bola kijiye

[@rintumondal5658]

Please hindi me padhaiye

[@DrHarishGarg]

काफी आसान शब्द हैं... आसानी से समझ आ जाएगी... इंग्लिश

[@sumannagaura222]

Sir thoda to hindi bolo

[@DrHarishGarg]

आसान इंग्लिश तो बोल रहा हु..... 😀 dont worry

[@Mathmystery2.0]

22:15 sir please pin it 2 is the root of equation

[@DrHarishGarg]

Already pin that's.... Please check

[@Mathmystery2.0]

@@DrHarishGarg oh sorry sir didn't notice that ! Thank you sir

[@tahirfayaz3065]

Sir what are the elements of the following ring. F_2(x) /(x^2(x-1) ^2).

[@SILPISAHA-tp8zz]

Sir applied ki har ek questions bohot lengthy tha

[@DrHarishGarg]

When i will get the applied question.. i will see and tell you the easiest way as well... In the meantime...Kindly Like the video and share the videos with other students tooo...

[@SILPISAHA-tp8zz]

​@@DrHarishGarg Ok sir

[@ronneysaini7763]

Sir ji.. Official Paper aye jab sare karwa dena.. Pleae sir

[@DrHarishGarg]

Sure... i will do Kindly Like the video and share the videos with other students tooo...

[@ronneysaini7763]

@@DrHarishGarg yes sir

[@manasareddy2511]

Thank you so much sir

[@snehalnikam1918]

Thankyou Sir

[@DrHarishGarg]

My pleasure alaways... Keep watching and like the video.

[@ratanpriya4405]

Thank You Sir

[@masterkapil6214]

Thank you sir

[@skjahidulislam9568]

❤

[@DrHarishGarg]

Lot of love..keep watching.

[@sumbulsheikh31dec]

Thank you sir

[@DrHarishGarg]

So nice of you... Keep watching and like the video

[@samuvelerode7309]

Thank you sir 🎉

[@SHAHISTASHEIKH-sy1td]

Thank you sir 😊