System Of Linear Equations | Non Homogeneous Equation | Matrices

[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit

[@shahidaakhter4003]

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

[@ompathak2807]

sir problem 3 ka solution khii or bhi hain?

[@riyasharma4840]

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]

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]

@@ompathak2807 Rank will be 4

[@chinmaywali606]

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]

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

[@d3sync761]

@@adarshkapoor9467 lambda should not be equal to 5

[@sohamghag1726]

correct hai bhai]

[@pratyushpatwal1440]

Ha Correct hai

[@beastincarnet1106]

Correct

[@RajeshRajesh-q5w]

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

[@waleedahmed603]

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

[@PranjalShukla-im9zb]

exactly bhai , im also confused now

[@tanujbhattdotin]

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 ❣

[@prankushsharma2588]

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

[@bhawanachouhan8288]

Yes sir

[@BipLab-m4m]

Yes

[@nishant6453]

Yes

[@MdShahadat-ji5jp]

Correct bro

[@sayanmondal8703]

Yes

[@shubhangisood175]

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

[@barcadas31]

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

[@chaitanyabavirisetti368]

yes sir same doubt

[@chahatbhatia2157]

Yea same. I got [0 -3 2 -11]

[@kunaldobhal996]

@@chahatbhatia2157 yes bro

[@mankiratsingh1832]

@@kunaldobhal996 yes i too

[@kumkumkundu5324]

@@chahatbhatia2157 I also

[@ritudhiman432]

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

[@janhvinarayan1633]

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]

lamda not equal to 4,2,8

[@pavankumarpk9013]

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

[@biswajitbarik1077]

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]

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]

Ri8

[@harmishsavaliya4]

Ri8😇

[@harshg.9896]

@@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]

@@harshg.9896 you right miu does not effect

[@_Sahil-ti1qn]

Great explanation by great teacher.

[@kundanmandal0009]

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]

ha i also getting same idk why

[@amardeepkumar565]

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

[@AgyaniHRCreations]

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]

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

[@anoopverma7941]

Really

[@harekrishanaharekrishana3916]

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

[@ayodhyawaale9728]

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

[@jaishreeramjaibajrangbali]

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

[@s.jehanabadi]

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

[@Chemistkom..2008]

Nice explanation sir 👌👌👌👌

[@snehaverma-li3cm]

Thank you sir aap bohot aache se explain karte h 🙏

[@JatBadmos]

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

[@VasuVashistha]

badmoshi nhi mitar🤡

[@p_saini]

thankyou sir, mene bhut kuch sikha iss video se

[@manjushwar468]

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

[@bhartithool]

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

[@arkshitpande5902]

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

[@aniketeuler6443]

Very good explanation sir you clarified all my doubts 😄

[@beautyineducation2737]

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

[@dataminX]

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

[@ayushlohia2992]

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

[@AbhishekKumar-ft8uc]

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.

[@anuragguha2451]

Bohot acha smjhate ho sir aap🙇🏻🙏🏻

[@ShreyasDalvi-l1l]

nice teaching👍👍

[@believeinyourself811]

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

[@PreparewithSuman]

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

[@Subhashkumar-ec6zc]

Carrect

[@AnkitKumar-jp5ci]

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

[@aloneversion6107]

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

[@MaheshKumar-cc9ln]

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]

Thanks Lot Sir Amazing explanation

[@Pratik_Salve]

30:54 R3-3R2 hona chahiye

[@remembertoeye1725]

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

[@champaklal115]

Last day pe hi yaad ati h padhne ki 😃

[@neeruneeru1598]

Excellent Explanation * "Keep it up"

[@tyagiffgaming356]

Sir app bhaut accha padatha ho

[@sachindhakal2716]

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😍😍

[@shimpiyadav1151]

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

[@yashkumar_7358]

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

[@rahuljalal5830]

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

[@harshalgedam2646]

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

[@amankajla234]

Peli baar Etna acha samaj aya thanku u so much sir

[@shernawab8840]

Sir g 💯% satisfied apke lecture

[@Swag_Core]

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

[@CUSATianDHIRAJ-lk7op]

Bahut Bahut Apko Dhnayabad sir

[@ankitakumari9632]

Explanation is very easy sir Great sir

[@kartikayjoshi3123]

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

[@official_altymfav]

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

[@oshikabhardwaj9790]

Thanks for this video

[@अंकुशशर्मा-म7ठ]

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🙏🙏🙏

[@MrArsh-yj9ju]

Yes i have same issue

[@ritukumari9640]

Yes i have same issue

[@aryaveersingh907]

Great Work ✔️

[@tarushibagra7491]

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🤔🤔

[@bankingcontestentsatyam5794]

Best explanation.... 🎉 🎉

[@apurvaanand4669]

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

[@swmpolice]

Thank you so much sir 🤗🤗🤗🤓

[@chandanmathsskill6514]

Thanks sir to help for financial problem students 👍👌

[@anjalisingh3694]

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

[@sakshikamble1534]

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

[@Dlsdsafety]

Sir aap bahut kamal ke padate hai

[@Shivakumar-hg4yl]

Gajendra purohit you are puro HIT

[@PRINCEGAMING-to8pn]

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

[@ujjwalgoyal1552]

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

[@tanzulalfiya4628]

Fabulous Video......👍👍👍👍👍👍👍👍👍👍

[@thestrange6]

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

[@431-shaikabdul2]

Thank you sir ❤️, for this valuable content. You are helping a lot of students whom u even don't know.

[@Yaduvanshi_Chandan]

Thanks guruji 🙏🙏🙏🙏🙏🙏🙏🙏❤❤❤❤❤🙏🙏🙏

[@tanmaychauhan4618]

Thankyou sir from Haryana btech student

[@Rakeshkumar-jf4ty]

Nice sir always..

[@thokthaktabungwjaba7988]

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

[@devilgaming3072]

Nice👍

[@TechEnlighten-g2m]

Thanks for your efforts sir Really Appreciated

[@gamingplatform1635]

Best bsc lectures available in the world of internet

[@ashishwilson3657]

sir problem 5th wala jo tha woh thoda galat hua tha pehle toh apne r3->r3-3r3 kara fir 3r2 se kardiya fir question mai tha ki have a sollution to sirf uniques sollution hoga aur lamda ki vakue 2 ayegi But Sir thankyou for making this playlist kal mera paper hai aur chaar din mai ekdum badiya se tayiyaaari ho gayi hai sir thankyou sir May GOD bless you Sir -Ashish Wilson

[@subratsahoo398]

App ka last question ka answer kya aya hai thoda btayenge??🙏🙏

[@kajalmavi5965]

Thankyou sir for make matrix too easy for bsc students!!!!! Your'e way of explanation is awesome 💯💯

[@aashishagrawal3990]

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

[@raghunandanverma894]

Thank you so much sir for help us...

[@daviddevdeori4828]

Thank you sir for your contribution..

[@ramanjangra7465]

at 33:38 (A) for no solution = lamda=5 and mu not equals to 9 (b) for unique solution lamda not equals to 5 and mu not equals to 9 (c) for infinite solutions lambda is 5 and mu is 9 😊😊

[@coder_boy]

Correct bro 👌 💯

[@AbhishekKumar-ft8uc]

B. u can take any value.

[@BipLab-m4m]

Correct

[@vishnubishnoi848]

For unique solution if miu will 9 then also it has 3 rank

[@vanshikasharma9633]

Thank you so much it helps a lot

[@mayyadmayyad2986]

Excellent vedio sir

[@HassanAlee-mt4up]

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

[@LegebdOpp]

it is impossible to get a heart from purohit sir

[@prankushsharma2588]

🤣🤣🤦‍♂️

[@aadimundra4340]

Finally you proved it. H.P. 😉😂

[@adnanafdalahmed]

Functional analysis ka video banaye

[@kulveerkaur7393]

Thank you so much sir for these videos. These helped me a lot.

[@er.skelafahmed]

Great explanation thank you sir!

[@varshajaiswal1921]

Thankyou so much ser , this video helped me a lot in very less time I gained 5 concepts clearly , really you are great

[@darshilprajapati177]

you are so good sir

[@Jai_Shree_Raam_108]

Sir aapne Ek Step miss kar diya *there will be one more transformation R4➡️ 29R4 + 17R3*

[@khushibankria3278]

Ty sir You teach very good sir

[@mvenkataadityaprakash9485]

sir, at 25:26 since we apply transformation for 3rd and 4th row 2nd row does not get changed

[@DeepakKumar-ln8kl]

correct bro

[@saurabhm809]

U are a great teacher sir

[@parmeshirana4388]

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

[@infinitymusic4617]

30:57 sir transformation wrong matrix 3,1 position will become -3 once check sir