Vector Subspace | Subspace Theorems & Examples | Linear Algebra

Поділитися
Вставка
  • Опубліковано 6 лют 2025

КОМЕНТАРІ •

  • @gajendrapurohit
    @gajendrapurohit  4 роки тому +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 роки тому +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 👍🥳🥰

  • @mathsbyluvkesh1173
    @mathsbyluvkesh1173 4 роки тому +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

  • @phutoseven7645
    @phutoseven7645 2 роки тому +10

    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 🥲

  • @biswajitbarik1077
    @biswajitbarik1077 4 роки тому +6

    Bahut bahut sukriya sir....🙏

  • @Unlhd_tr
    @Unlhd_tr 2 роки тому +14

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

  • @49seemayadav65
    @49seemayadav65 4 роки тому +3

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

  • @zafarabbas8287
    @zafarabbas8287 2 роки тому +1

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

  • @karishmabaghel866
    @karishmabaghel866 4 роки тому +12

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

    • @MathswithKM
      @MathswithKM 4 роки тому

      Visit my channel for ring theory videos.

  • @Aman_Bhai_sidhu
    @Aman_Bhai_sidhu 3 роки тому +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 Рік тому

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

  • @gareenamasti3799
    @gareenamasti3799 3 роки тому +4

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

  • @Monika_singh2699
    @Monika_singh2699 4 роки тому +10

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

    • @biswajitbarik1077
      @biswajitbarik1077 4 роки тому +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 роки тому +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

  • @priyaparjapti5480
    @priyaparjapti5480 3 роки тому +1

    Very helpfull video thank u sir🙏

  • @tons143..7
    @tons143..7 4 роки тому +1

    Thanks sir for vide0

  • @Rakeshkumar-jf4ty
    @Rakeshkumar-jf4ty 2 роки тому +1

    Very nice sir 🙏 🙏 🙏

  • @PhysicsNomad01
    @PhysicsNomad01 Рік тому

    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 ?

  • @themathmotivor.
    @themathmotivor. 4 роки тому +1

    Sir you are great

  • @Ayodhyawale933
    @Ayodhyawale933 4 роки тому +1

    Sir you videos is very helpful to everyone

  • @ayushlohia2992
    @ayushlohia2992 3 роки тому

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

  • @shahidnoorani8193
    @shahidnoorani8193 4 роки тому +4

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

  • @divyanshuranjan2368
    @divyanshuranjan2368 4 роки тому +6

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

  • @RinkiSingh-ij9zh
    @RinkiSingh-ij9zh 2 роки тому +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

  • @ankitajoshi666
    @ankitajoshi666 3 роки тому

    Amezing sir😊😊

  • @dummyaccount8328
    @dummyaccount8328 3 роки тому +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

  • @aniketbhise8208
    @aniketbhise8208 3 роки тому +1

    Thank you very much Sir 👍👍

  • @MWASI-kk8nn
    @MWASI-kk8nn 2 роки тому

    बहुत-बहुत शुक्रिया

  • @swapnakotoju4900
    @swapnakotoju4900 4 роки тому +1

    Thank you sir

  • @learningwith---ashutoshyad9829
    @learningwith---ashutoshyad9829 4 роки тому +3

    Best teacher for engineering or competitive mathematics

  • @knalins
    @knalins Рік тому

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

  • @adminjoey1654
    @adminjoey1654 2 роки тому +11

    Can't Imagine My Degree Without Him ❤️

  • @karishmabaghel866
    @karishmabaghel866 4 роки тому +1

    Thank you so much sirr 🙏🙏🙏

  • @soumenpati4133
    @soumenpati4133 4 роки тому +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 роки тому +2

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

  • @manojkumardandapat2037
    @manojkumardandapat2037 3 роки тому

    Excellent Sir

  • @salonikumari4208
    @salonikumari4208 4 роки тому +14

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

  • @saurabhghule9982
    @saurabhghule9982 4 роки тому +2

    Well done💯👍👏 sir I am your fan also

  • @aimalkhankakar8030
    @aimalkhankakar8030 3 роки тому

    Thanks sir grt effort

  • @zenith9430
    @zenith9430 2 роки тому

    Thx for video

  • @sumanyadav4921
    @sumanyadav4921 4 роки тому

    Thanks for more videos upload

  • @PrinceKumar-lk8ux
    @PrinceKumar-lk8ux 9 місяців тому

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

  • @tpsicmin
    @tpsicmin 3 роки тому +1

    Nice

  • @garrysingh385
    @garrysingh385 4 роки тому +2

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

  • @atindramaurya5869
    @atindramaurya5869 4 роки тому +3

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

  • @Xyzzz8088
    @Xyzzz8088 3 роки тому +5

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

  • @vivek2897
    @vivek2897 4 роки тому +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

  • @Ayesha_01257
    @Ayesha_01257 Рік тому

    Good Good Good👍💓💓

  • @fooditems9839
    @fooditems9839 3 роки тому

    Tooooooooooooo good sir

  • @youtubemaths
    @youtubemaths 4 роки тому

    Thanks 🙏

  • @ManlyMadhu123
    @ManlyMadhu123 Рік тому +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

  • @AbhishekSingh-xi4mw
    @AbhishekSingh-xi4mw 3 роки тому +9

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

  • @nasrinakter5873
    @nasrinakter5873 3 роки тому

    Thanks a lot sir☺️

  • @shivanigusain5699
    @shivanigusain5699 4 роки тому +1

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

  • @saaimatabassum4085
    @saaimatabassum4085 3 роки тому

    Sir please solve more problems.

  • @satendrakashiyam771
    @satendrakashiyam771 4 роки тому

    Thabks so much sirji

  • @sumanyadav4921
    @sumanyadav4921 4 роки тому

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

  • @mixing591
    @mixing591 4 роки тому +5

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

  • @janabkiyatra
    @janabkiyatra 3 роки тому

    Thank you sir ❤️❤️❤️

  • @mathtime4986
    @mathtime4986 Рік тому

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

  • @letscrackupsc688
    @letscrackupsc688 Рік тому

    Sir ye videos
    upsc k liye sufficient h

  • @inocentharsh439
    @inocentharsh439 3 роки тому +1

    Good explanation
    But speed is fast

  • @anudhimishram6192
    @anudhimishram6192 2 роки тому

    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👌

  • @sakthipriya9696
    @sakthipriya9696 4 роки тому +10

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

  • @themathmotivor.
    @themathmotivor. 4 роки тому

    Sir I am from Pakistan
    Allah bless you

  • @manishatomar4255
    @manishatomar4255 3 роки тому

    Sir exam m dono theorem prove krni h kya

  • @mdbadruddin9852
    @mdbadruddin9852 4 роки тому

    Define vector space and subspaces mai ek video banaye please

  • @htp2319
    @htp2319 4 роки тому

    thanks

  • @brajashekhar6820
    @brajashekhar6820 3 роки тому +4

    Thank u so much sir ur teaching style is awesome

  • @Dr.Praveen9119
    @Dr.Praveen9119 4 роки тому

    Thanks sir

  • @atharva9076
    @atharva9076 2 роки тому

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

  • @rohitmelkani6521
    @rohitmelkani6521 4 роки тому

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

  • @anilyadavgzp04
    @anilyadavgzp04 4 роки тому

    Sir mechanics pe bhi video daliye

  • @SuryaBhaiyaPCM
    @SuryaBhaiyaPCM 4 роки тому

    Tension lene ki jrurat nhi hai ☺️☺️☺️

  • @harimohanchoudhary8915
    @harimohanchoudhary8915 3 роки тому +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

  • @familymagic-ig2ve
    @familymagic-ig2ve Рік тому

    Namste guru ji

  • @vivekprajapati7015
    @vivekprajapati7015 2 роки тому

    ऐश्वर्य, निः शब्द।

  • @kamaldeep8639
    @kamaldeep8639 4 роки тому

    Sir Euclidean ring par video bnayiye please

  • @vikaskr2606
    @vikaskr2606 3 роки тому

    Sir kon See book sey parhathy hay

  • @tapaswinisahoo9520
    @tapaswinisahoo9520 4 роки тому +1

    Pura vector space kab tab cover hoga

  • @MuhammadBilal-e7h5p
    @MuhammadBilal-e7h5p 8 місяців тому

    Sir app khud ko samja rha hota ha ?

  • @deemotivation8706
    @deemotivation8706 2 роки тому +1

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

  • @Namita_chawla
    @Namita_chawla 4 роки тому +1

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

  • @Namita_chawla
    @Namita_chawla 4 роки тому +1

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

  • @manishabai1976
    @manishabai1976 4 роки тому

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

  • @sachin.tiwarisachintiwari6838
    @sachin.tiwarisachintiwari6838 4 роки тому

    Radhey Radhey sir

  • @prashantmishra5914
    @prashantmishra5914 4 роки тому +4

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

  • @namonarayanmeena2000
    @namonarayanmeena2000 2 роки тому +1

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

  • @AnilKumar-yy6bq
    @AnilKumar-yy6bq 4 роки тому +1

    Sir thoda slow pdaya kro plz

  • @naeemahmed4738
    @naeemahmed4738 4 роки тому +1

    Sir pdf mil sakta ha ap k notes ka?

  • @mathematicsworld97
    @mathematicsworld97 4 роки тому +1

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

    • @mathematicsworld97
      @mathematicsworld97 4 роки тому

      @@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 роки тому +1

      @@urdeep01 thanks

  • @vikaskr2606
    @vikaskr2606 3 роки тому

    Sir please B. Sc 2yer mechanics ka video

  • @abhishekpokhrel9658
    @abhishekpokhrel9658 4 роки тому

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

    • @akashsinghyadav1236
      @akashsinghyadav1236 3 роки тому +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.

  • @kshamashreek6126
    @kshamashreek6126 4 роки тому

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

  • @shinedutta1880
    @shinedutta1880 4 роки тому

    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

  • @MuhammadZahid-wd6jv
    @MuhammadZahid-wd6jv 4 роки тому

    Kmall sir ji
    Bra acha samjaty hai ap👌👍

  • @seenaiahpedipina1165
    @seenaiahpedipina1165 3 роки тому +69

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

  • @srinityapadma5125
    @srinityapadma5125 4 роки тому +2

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

    • @ambikapatil6699
      @ambikapatil6699 3 роки тому

      Sir upsc mathematics ko bhi a videos dekh sakthe na sir

  • @straightforward2027
    @straightforward2027 4 роки тому

    Sir please launch math optional course of upsc in unacademy plus plzz sir

  • @Sidiiidiwdoewbwicisiwiw
    @Sidiiidiwdoewbwicisiwiw Рік тому

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

  • @FF....lover....
    @FF....lover.... Рік тому

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

  • @Abhishek-ge4ms
    @Abhishek-ge4ms 3 роки тому

    Pivot position sir