Vector Subspace | Subspace Theorems & Examples | Linear Algebra

แชร์
ฝัง
  • เผยแพร่เมื่อ 10 ม.ค. 2025

ความคิดเห็น • 217

  • @gajendrapurohit
    @gajendrapurohit  4 ปีที่แล้ว +42

    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

  • @aniketbhise8208
    @aniketbhise8208 3 ปีที่แล้ว +40

    Sir I tell you one thing, the way of your teaching is excellent and another one thing is that sir you tech on blackboard or greenboard by writing that way is very effective. Again thank you very much Sir 👍🥳🥰

  • @biswajitbarik1077
    @biswajitbarik1077 4 ปีที่แล้ว +6

    Bahut bahut sukriya sir....🙏

  • @mathsbyluvkesh1173
    @mathsbyluvkesh1173 4 ปีที่แล้ว +20

    Thank you so much sir for starting vector space. Sir meine vector space other channel pe bhi padha h but jis easy method se aap padhate ho or koi nhi padhata

  • @ManlyMadhu123
    @ManlyMadhu123 ปีที่แล้ว +5

    I am from IITHyderabad sir your lectures are so nice and helpful for me sir

  • @adminjoey1654
    @adminjoey1654 2 ปีที่แล้ว +11

    Can't Imagine My Degree Without Him ❤️

  • @Unlhd_tr
    @Unlhd_tr 2 ปีที่แล้ว +14

    Sir I am studying BSC Maths in the UK and I love your videos so much! They’re so helpful Thank you

    • @aadityakumar903
      @aadityakumar903 ปีที่แล้ว +3

      Uk..?
      Uttrakhand..!??

    • @satyamjha4758
      @satyamjha4758 ปีที่แล้ว +1

      United Kingdom Britain😅

    • @DELTA_official
      @DELTA_official ปีที่แล้ว +3

      @@aadityakumar903 ise type ky question exam my bi atty hai 🤣

    • @mahendrajas540
      @mahendrajas540 11 หลายเดือนก่อน

      Bcs from England 😮😮😮😮

  • @49seemayadav65
    @49seemayadav65 4 ปีที่แล้ว +3

    Thanku so much sir. Aapka pdaya hua bhut jaldi smaj me aa jata h again thanks a lot sir.

  • @karishmabaghel866
    @karishmabaghel866 4 ปีที่แล้ว +12

    This video is really helpful for my bsc exam...thank you sir🙏🙏✨

    • @MathswithKM
      @MathswithKM 4 ปีที่แล้ว

      Visit my channel for ring theory videos.

  • @phutoseven7645
    @phutoseven7645 2 ปีที่แล้ว +7

    I really think that the quality of content is decreased because of this new teaching style of sir. I am not able to understand, sir is behaving like we already know everything we are just revising the things 🥲

  • @learningwith---ashutoshyad9829
    @learningwith---ashutoshyad9829 4 ปีที่แล้ว +3

    Best teacher for engineering or competitive mathematics

  • @gareenamasti3799
    @gareenamasti3799 3 ปีที่แล้ว +4

    Sir, your teaching style is so pretty
    I fall in love of mathematics 😘😘😘

  • @divyanshuranjan2368
    @divyanshuranjan2368 4 ปีที่แล้ว +6

    Sir your videos help me a lot... regarding my gate examination... thanks sir

  • @Aman_Bhai_sidhu
    @Aman_Bhai_sidhu 3 ปีที่แล้ว +1

    Sir please ap range and null space par video bna dijae muja apka channel sa alag khi smj nhi ata sir you are unique teacher in India really

  • @itsmeeee3288
    @itsmeeee3288 ปีที่แล้ว

    Really sirrr.. apko bohot saraaaa thank you bolne ki jarurat hai😅🎉😊❤you are great sir💯✅🙆🏻‍♀️

  • @priyaparjapti5480
    @priyaparjapti5480 3 ปีที่แล้ว +1

    Very helpfull video thank u sir🙏

  • @Monika_singh2699
    @Monika_singh2699 4 ปีที่แล้ว +10

    Thanks so muchh sir ji🙏🙏.... Sir, your teaching style/ method is amazing..... You are best and great educator.....

    • @biswajitbarik1077
      @biswajitbarik1077 4 ปีที่แล้ว +2

      Aapne sahi kaha Monica ji...maine jindagi mein eisa teacher kabhi Nahin dekha... subject chahe jitna v kathin kyun na ho jab gajendra sir padhate hein na yaar sab kuch samajh mein aa jata hai... hat's up sir...

    • @garrysingh385
      @garrysingh385 4 ปีที่แล้ว +1

      Sir g tusi differential equation me btaya tha ordinary point me bare me . sir g ordinary poins infinite ho sekde ne according to that

  • @zafarabbas8287
    @zafarabbas8287 2 ปีที่แล้ว

    Nice sir .I have gain a lot from your lecturs.Zafar abbas from pakistan.thanks a lot

  • @salonikumari4208
    @salonikumari4208 4 ปีที่แล้ว +14

    What is the difference between what you teach here in TH-cam and in unacademy plus

  • @Ayodhyawale933
    @Ayodhyawale933 3 ปีที่แล้ว +1

    Sir you videos is very helpful to everyone

  • @ayushlohia2992
    @ayushlohia2992 3 ปีที่แล้ว

    Thankyou sir.... vector subspace samajne m badi dikkat hui but apki video ne bahut help kari... Thanks a lot sir.

  • @saurabhghule9982
    @saurabhghule9982 4 ปีที่แล้ว +2

    Well done💯👍👏 sir I am your fan also

  • @tons143..7
    @tons143..7 4 ปีที่แล้ว +1

    Thanks sir for vide0

  • @knalins
    @knalins ปีที่แล้ว

    Thanks Sir, Your Video help me to do well in my academics

  • @garrysingh385
    @garrysingh385 4 ปีที่แล้ว +2

    Guys like the video.sir g bahut hard work kr re han

  • @PhysicsNomad01
    @PhysicsNomad01 ปีที่แล้ว

    Sir, in 5:23 we already have W is closed under vector addition and scalar multiplication. Then why do we need to prove them again by taking alpha=beta = 1 for W is closed under addition and beta=0 for W is closed under scalar multiplication ?

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

    Very nice sir 🙏 🙏 🙏

  • @themathmotivor.
    @themathmotivor. 4 ปีที่แล้ว +1

    Sir you are great

  • @aniketbhise8208
    @aniketbhise8208 3 ปีที่แล้ว +1

    Thank you very much Sir 👍👍

  • @Xyzzz8088
    @Xyzzz8088 3 ปีที่แล้ว +5

    Thanks Sir ,Your Explanations are really great👌🏻👌🏻👌🏻👌🏻👌🏻

  • @karishmabaghel866
    @karishmabaghel866 4 ปีที่แล้ว +1

    Thank you so much sirr 🙏🙏🙏

  • @ankitajoshi666
    @ankitajoshi666 3 ปีที่แล้ว

    Amezing sir😊😊

  • @sakthipriya9696
    @sakthipriya9696 4 ปีที่แล้ว +10

    Thank you so much Sir. But it would be better if u add captions to all linear algebra videos sir😊

  • @MWASI-kk8nn
    @MWASI-kk8nn 2 ปีที่แล้ว

    बहुत-बहुत शुक्रिया

  • @sumanyadav4921
    @sumanyadav4921 4 ปีที่แล้ว

    Thanks for more videos upload

  • @brajashekhar6820
    @brajashekhar6820 3 ปีที่แล้ว +4

    Thank u so much sir ur teaching style is awesome

  • @soumenpati4133
    @soumenpati4133 4 ปีที่แล้ว +4

    Sir thank you so much for your great explanation 🙏...sir pure mathematics ke part series and sequence ka topic par bohot jada video te humlogoki bohot help hoti sir,main is liye bata raha hu jo hum apka har lecture dekhta hu

    • @sreenjaysen927
      @sreenjaysen927 4 ปีที่แล้ว +2

      For linear algebra you should watch Dr. Strang's videos in MIT Opencourseware. Stop watching this crap.

  • @shahidnoorani8193
    @shahidnoorani8193 4 ปีที่แล้ว +4

    sir aap college nahi jaane wale bando ke liye ek angel hai or meri dua hai aap hamesha healthy rahe.
    :)

  • @swapnakotoju4900
    @swapnakotoju4900 4 ปีที่แล้ว +1

    Thank you sir

  • @atindramaurya5869
    @atindramaurya5869 4 ปีที่แล้ว +3

    Wow 🥰
    Amazing ❤️
    Sr aapka padhane ka tareeka lajwab hai ❤️ mind blowing guru ji 🔥

  • @AbhishekSingh-xi4mw
    @AbhishekSingh-xi4mw 3 ปีที่แล้ว +9

    Sir you have provided such a great opportunity to crack the competitive exams ❤❤❤

  • @manojkumardandapat2037
    @manojkumardandapat2037 3 ปีที่แล้ว

    Excellent Sir

  • @shinedutta1880
    @shinedutta1880 4 ปีที่แล้ว

    Sir Bahut accha padhate ho ek damm kaam ki cheez baki to bkk bkk main time nikal dete hain apni video short Aur knowledgeable hoti hai

  • @inocentharsh439
    @inocentharsh439 3 ปีที่แล้ว +1

    Good explanation
    But speed is fast

  • @aimalkhankakar8030
    @aimalkhankakar8030 3 ปีที่แล้ว

    Thanks sir grt effort

  • @nasrinakter5873
    @nasrinakter5873 3 ปีที่แล้ว

    Thanks a lot sir☺️

  • @themathmotivor.
    @themathmotivor. 4 ปีที่แล้ว

    Sir I am from Pakistan
    Allah bless you

  • @sumanyadav4921
    @sumanyadav4921 4 ปีที่แล้ว

    Sir please thoda slow padhaya kariye but you are best teach.

  • @MuhammadZahid-wd6jv
    @MuhammadZahid-wd6jv 4 ปีที่แล้ว

    Kmall sir ji
    Bra acha samjaty hai ap👌👍

  • @zenith9430
    @zenith9430 2 ปีที่แล้ว

    Thx for video

  • @tpsicmin
    @tpsicmin 3 ปีที่แล้ว +1

    Nice

  • @FF....lover....
    @FF....lover.... ปีที่แล้ว

    Hello sir
    I'm studying in USA your TH-cam classes are so helpful,great thanks.....for your classes🔥🔥🔥🔥

  • @atharva9076
    @atharva9076 2 ปีที่แล้ว

    Thanks sir. i wish i could pay you instead of my college tuition :-(

  • @vivek2897
    @vivek2897 4 ปีที่แล้ว +2

    Sir DU me MCA entrance me bsc math aata hai kya Aapka video helpful Hoga us exam me Aur kya aapne Pura math syllabus cover Kiya hai

  • @shivanigusain5699
    @shivanigusain5699 3 ปีที่แล้ว +1

    Sir plz make vedio in coinc section n polor from plz sir as soon as possible

  • @janabkiyatra
    @janabkiyatra 3 ปีที่แล้ว

    Thank you sir ❤️❤️❤️

  • @satendrakashiyam771
    @satendrakashiyam771 4 ปีที่แล้ว

    Thabks so much sirji

  • @saaimatabassum4085
    @saaimatabassum4085 3 ปีที่แล้ว

    Sir please solve more problems.

  • @anudhimishram6192
    @anudhimishram6192 2 ปีที่แล้ว

    Sir I want to suggest you something if you plz can teach little slower than it would be much helpful..otherwise you teach very well👌

  • @youtubemaths
    @youtubemaths 4 ปีที่แล้ว

    Thanks 🙏

  • @SuryaBhaiyaPCM
    @SuryaBhaiyaPCM 4 ปีที่แล้ว

    Tension lene ki jrurat nhi hai ☺️☺️☺️

  • @Ayesha_01257
    @Ayesha_01257 ปีที่แล้ว

    Good Good Good👍💓💓

  • @mdbadruddin9852
    @mdbadruddin9852 4 ปีที่แล้ว

    Define vector space and subspaces mai ek video banaye please

  • @fooditems9839
    @fooditems9839 3 ปีที่แล้ว

    Tooooooooooooo good sir

  • @mathtime4986
    @mathtime4986 ปีที่แล้ว

    सर आप बहोत ही अच्छा पढ़ाते हो परंतु थोड़ा स्लो पढ़ाई ए जिससे हमें समझ ने में तकलीफ न हो ।

  • @prashantmishra5914
    @prashantmishra5914 4 ปีที่แล้ว +4

    Sir... Is this series of linear algebra helps in the preparation of csir net? Plzz suggest sir 🙏🙏

  • @dummyaccount8328
    @dummyaccount8328 3 ปีที่แล้ว +4

    I use to love your videos but since the smartboard its just you ticking and reading words that we already have read in the textbooks, please teach us and not just read like our professors
    Petition to bring back the blackboard
    Dr.Gajendra Purohit

  • @ManlyMadhu123
    @ManlyMadhu123 ปีที่แล้ว +1

    sir in second problem how do you now it's a inear equation and actually it's a 2nd order equation not a 2nd degree equation

  • @vivekprajapati7015
    @vivekprajapati7015 2 ปีที่แล้ว

    ऐश्वर्य, निः शब्द।

  • @PrinceKumar-lk8ux
    @PrinceKumar-lk8ux 8 หลายเดือนก่อน

    Sir aap itna aacha padhte hai jaishe koi English teji me bol ke nikal gaya or kuch bhi samjh nhi aaya🤣🤣

  • @mixing591
    @mixing591 4 ปีที่แล้ว +5

    Sir inner product space chapter 10th by jeevan sans publications upload kr do please request 4th section pura ho jaye ga

  • @RinkiSingh-ij9zh
    @RinkiSingh-ij9zh 2 ปีที่แล้ว +2

    Hlo sir aap pahale khud se likhte the to achhe se samajh aata tha ab aap pahale se hi likhe ho aur bata rhe ho to utna nhi samajh aa rha

  • @letscrackupsc688
    @letscrackupsc688 ปีที่แล้ว

    Sir ye videos
    upsc k liye sufficient h

  • @familymagic-ig2ve
    @familymagic-ig2ve ปีที่แล้ว

    Namste guru ji

  • @Dr.Praveen9119
    @Dr.Praveen9119 4 ปีที่แล้ว

    Thanks sir

  • @Namita_chawla
    @Namita_chawla 4 ปีที่แล้ว +1

    Sir...ring theory wala aage wala content bhi provide kro please please please

  • @kamaldeep8639
    @kamaldeep8639 4 ปีที่แล้ว

    Sir Euclidean ring par video bnayiye please

  • @seenaiahpedipina1165
    @seenaiahpedipina1165 3 ปีที่แล้ว +65

    Sir Please teach in English so that south indian students also can leverage it. Thanks.

    • @divyanshukochar7052
      @divyanshukochar7052 3 ปีที่แล้ว +24

      Find English speaking mathematics teacher bro

    • @divyanshukochar7052
      @divyanshukochar7052 3 ปีที่แล้ว +35

      Majority of people like hindi language

    • @seenaiahpedipina1165
      @seenaiahpedipina1165 3 ปีที่แล้ว +19

      @@divyanshukochar7052 Yeah, I already found better teacher in Telugu itself bro, thanks for the suggestion.

    • @srikanthvadithya9522
      @srikanthvadithya9522 2 ปีที่แล้ว +1

      @@seenaiahpedipina1165Hey Are you from telugu state

    • @gudeyprasanthkumar2278
      @gudeyprasanthkumar2278 2 ปีที่แล้ว +1

      @@seenaiahpedipina1165 which channel bro pls tell me

  • @rohitmelkani6521
    @rohitmelkani6521 4 ปีที่แล้ว

    Sir aap badiya padhate hai lekin aap jaldii jaldii Bolte h Jo acchi Tarah smjhne m problem Hoti hai

  • @namonarayanmeena2000
    @namonarayanmeena2000 2 ปีที่แล้ว +1

    Sir please upload the pdf notes also it will be helpful
    Please sir 🙏🙏🙏🙏

  • @Sidiiidiwdoewbwicisiwiw
    @Sidiiidiwdoewbwicisiwiw ปีที่แล้ว

    I am from IIT Bomabay CSE ,your videos are very helpfull

    • @tusharkukreja671
      @tusharkukreja671 ปีที่แล้ว +1

      Hi I am from IIT Bidholi, Uttarakhand

    • @Siuuu18vk
      @Siuuu18vk ปีที่แล้ว

      Hi I am from IIT Dholakpur

  • @anilyadavgzp04
    @anilyadavgzp04 4 ปีที่แล้ว

    Sir mechanics pe bhi video daliye

  • @htp2319
    @htp2319 3 ปีที่แล้ว

    thanks

  • @manishatomar4255
    @manishatomar4255 3 ปีที่แล้ว

    Sir exam m dono theorem prove krni h kya

  • @Namita_chawla
    @Namita_chawla 4 ปีที่แล้ว +1

    Ideals wala topic pura nahi hai sir ring theory ka...please vo pura krwaeee please sir

  • @vikaskr2606
    @vikaskr2606 3 ปีที่แล้ว

    Sir please B. Sc 2yer mechanics ka video

  • @sachin.tiwarisachintiwari6838
    @sachin.tiwarisachintiwari6838 4 ปีที่แล้ว

    Radhey Radhey sir

  • @AnilKumar-yy6bq
    @AnilKumar-yy6bq 4 ปีที่แล้ว +1

    Sir thoda slow pdaya kro plz

  • @harimohanchoudhary8915
    @harimohanchoudhary8915 2 ปีที่แล้ว +1

    Sir aap easily samjhaiye na aap to apni train pe chadhe hue hai sirf padh rahe hai aap. Saath me dheere dheere peechla concept bhi samjhate chaliye. Plssssss

  • @tapaswinisahoo9520
    @tapaswinisahoo9520 4 ปีที่แล้ว +1

    Pura vector space kab tab cover hoga

  • @mathematicsworld97
    @mathematicsworld97 4 ปีที่แล้ว +1

    Sir can you plz tell me the solution of equation logx^2= 2logx in detail.

    • @mathematicsworld97
      @mathematicsworld97 4 ปีที่แล้ว

      @@urdeep01 I know it's a property of logarithmic function but I had a question in paper to find the solution of this equation .

    • @mathematicsworld97
      @mathematicsworld97 4 ปีที่แล้ว +1

      @@urdeep01 thanks

  • @srinityapadma5125
    @srinityapadma5125 4 ปีที่แล้ว +2

    Thank you so much Sir... I got it here so much easy and simple than I thought it would be.../\

    • @ambikapatil6699
      @ambikapatil6699 3 ปีที่แล้ว

      Sir upsc mathematics ko bhi a videos dekh sakthe na sir

  • @manishabai1976
    @manishabai1976 4 ปีที่แล้ว

    Sir ,RPSC 1st grade math ka syllabus our csir net ka syllabus ek hi h kya

  • @naeemahmed4738
    @naeemahmed4738 4 ปีที่แล้ว +1

    Sir pdf mil sakta ha ap k notes ka?

  • @kshamashreek6126
    @kshamashreek6126 4 ปีที่แล้ว

    Okay... Is this BSc 6th Sem subject?

  • @creativemath7824
    @creativemath7824 4 ปีที่แล้ว

    Sir please thoda slow padhaiye.

  • @vikaskr2606
    @vikaskr2606 3 ปีที่แล้ว

    Sir kon See book sey parhathy hay

  • @abhishekpokhrel9658
    @abhishekpokhrel9658 4 ปีที่แล้ว

    I need a solution for :
    V=R^3. Show W = {(x,y,z) : 2x+y+2z=0} is subspace of V.

    • @akashsinghyadav1236
      @akashsinghyadav1236 3 ปีที่แล้ว +2

      It's a similar kind of problem , see if it helps Example 1: 𝑊={(𝑥,𝑦,𝑧):3𝑥−2𝑦+𝑧=0, 𝑥,𝑦,𝑧∈ℝ} is a subspace of ℝ^3.
      Let 𝛼=(𝑥_1,𝑦_1,𝑧_1 ) and 𝛽=(𝑥_2,𝑦_2,𝑧_2 ) be any two vectors in 𝑊 and 𝑐 be any scalar in ℝ. Then, 𝑐𝛼+𝛽=(𝑐𝑥_1+𝑥_2,𝑐𝑦_1+𝑦_2,𝑐𝑧_1+𝑧_2) and
      3(𝑐𝑥_1+𝑥_2 )−2(𝑐𝑦_1+𝑦_2 )+𝑐𝑧_1+𝑧_2=𝑐(3𝑥_1−2𝑦_1+𝑧_1 )+3𝑥_2−2𝑦_2+𝑧_2=0.
      Therefore, 𝑐𝛼+𝛽∈𝑊 and 𝑊 is a subspace of ℝ^3.

  • @deemotivation8706
    @deemotivation8706 2 ปีที่แล้ว +1

    Yeh yha jaa rha hai
    Wo bha jaa rha hai
    Yehi chal rha hai puri vedio me

  • @Abhishek-ge4ms
    @Abhishek-ge4ms 3 ปีที่แล้ว

    Pivot position sir