Vector Space

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  • Опубліковано 10 лип 2024
  • In this video, I explained the concept of a vector space using basic terms for those who don't get it.

КОМЕНТАРІ • 119

  • @PrimeNewtons
    @PrimeNewtons  9 місяців тому +113

    #3. 0 + v = v + 0 = v

    • @MakumbiGeorge
      @MakumbiGeorge 3 місяці тому +4

      ❤ Thanks so much Sir. I was really stuck n stressed

  • @madhavajith6875
    @madhavajith6875 4 місяці тому +66

    Sir you have the most important thing that students want in their math teacher: a beautiful handwriting ❤❤❤

    • @Imran52Feb
      @Imran52Feb 4 місяці тому +4

      I agree. He is a very good teacher also.

  • @josephparrish7625
    @josephparrish7625 9 місяців тому +25

    This is such an excellent explanation of a vector space! Every time I watch you, I want to go back to teaching. You are such an inspiration.

  • @ProfIqbalHussain
    @ProfIqbalHussain 4 місяці тому +21

    Excellent teaching sir.
    Check existence of additive identity
    u+0=0+u=u
    Additive identity 0 in a vector space, keeps the members of V(F) unchanged.

  • @marakyayalneh7584
    @marakyayalneh7584 Місяць тому +2

    Thank you so much for taking the time to clarify those confusing concepts. Your explanations were incredibly helpful, and I really appreciate your dedication to helping us understand.

  • @InsightfulMinds3
    @InsightfulMinds3 Місяць тому +3

    You have a good impression with amazing knowledge. You have Every element that a best teacher could own! Thank you!

  • @arbenkellici3808
    @arbenkellici3808 7 місяців тому +3

    You are a genious in Maths , Sir Everytime I watch your videos I realise that there is noone else better than you in Mathematics
    Thank you!

  • @gnc4818
    @gnc4818 29 днів тому

    You have no idea how much this has helped me. Truly.

  • @Ste_3
    @Ste_3 4 місяці тому +2

    This is such an exellent way of teaching, you really made me get the concept thanks

  • @Trippomane
    @Trippomane 9 місяців тому +2

    You are an excellent educator, sir!

  • @davea136
    @davea136 Місяць тому +1

    An excellent and clear explanation! Thank you for your channel. And I think your Shorts are really coming out well too.

  • @Lo-fi_songs_4u
    @Lo-fi_songs_4u 3 місяці тому +1

    Amazing sir , i am from India . i go here to where for physical interpretation of vector space but i am not satisfied. After long time i saw your video and click on it , hence the result is satisfaction. 😊
    Thank you sir, clear all the mathematical physics like this.

  • @curtpiazza1688
    @curtpiazza1688 3 місяці тому +4

    Wow! This is GREAT! I like your style! I love the old-fashioned chalk and chalkboard! Brings back memories! 😊 ❤

  • @chr0mium689
    @chr0mium689 Місяць тому +1

    wonderful video! Easy explained and accessible! Love it,you are now my to go math explainer ! Greetings from Maastricht :)

  • @shahinakhter2418
    @shahinakhter2418 3 місяці тому

    Teachers like you makes learning fun!

  • @AnoldPhiri
    @AnoldPhiri 3 місяці тому

    Nice,you have made the concept simple. Thanks so much and continue doing good job.

  • @Sarah._.s889
    @Sarah._.s889 4 місяці тому

    Perfect and smooth teaching 👌🏻🤌

  • @KingKhan-xq3su
    @KingKhan-xq3su Місяць тому +2

    Good explanation...
    But you should give the any counter example of vector space..

  • @internetuser9279
    @internetuser9279 10 днів тому +1

    Your teaching makes me fall in love with math ❤

  • @alphonsemarcus3650
    @alphonsemarcus3650 2 місяці тому

    Awesome video, you explain it really well in simple terms, thank you

  • @user-di1rv4jh1x
    @user-di1rv4jh1x 18 днів тому +1

    Sir I really enjoy you videos
    Whenever I watch your videos I Learn with enjoys❤️
    Really loves your videos, you are amazing 😻

  • @user-eo5xq1im3r
    @user-eo5xq1im3r Місяць тому

    You're the best I have seen in the whole of UA-cam.

  • @phovos
    @phovos 7 місяців тому +4

    12:40 if that isn't just the best way of introducing new concepts lol! 'I know this guy his name is the derivative of x, he is pretty cool' bahaha this is just my adhd writing this comment, I took good notes prof! TY.

  • @ed084
    @ed084 8 місяців тому +14

    Isn't it for 3) that 0+u = u+0 = u (aka neutral element for addition)?

    • @veganath
      @veganath Місяць тому

      Just what I was thinking....

  • @mariallejandra
    @mariallejandra 3 місяці тому

    Such a good explanation ! Thank you !

  • @julibeeee408
    @julibeeee408 3 місяці тому +1

    Thank you for this video! I don't understand why real-life teachers can't explain like these UA-cam teachers.

  • @abhishekrajvir6576
    @abhishekrajvir6576 11 днів тому

    i wish i were excited / happy as him , btw kuddos to your teaching

  • @EhsanulKarim-dn9fb
    @EhsanulKarim-dn9fb Місяць тому

    Such a beautiful and intuitive explanation❤❤❤❤

  • @menahasan5718
    @menahasan5718 3 місяці тому

    you love what you do you are enthusiastic about it i love that
    perfect explanation now i get it

  • @vincentmudimeli4430
    @vincentmudimeli4430 5 місяців тому

    oh your explanation are so clear you are indeed a maths prof and you make one to love maths i wish i found you earliar but i will be your student during my entire life ihave been following you for long time but not subscribed to your chanel if i were having money i will support you to produce more content im just a student thanks man

  • @shoeskoo4326
    @shoeskoo4326 3 місяці тому +1

    Thank you so much for this very video! It is so easy to follow and very well explained!

  • @solcaer8246
    @solcaer8246 4 місяці тому

    this really helped me understand it, thank you so much

  • @jobinsathickal3127
    @jobinsathickal3127 3 місяці тому

    Wonderful teaching

  • @anonymoususer4356
    @anonymoususer4356 4 місяці тому +2

    Your handwring is really great!

  • @palesaletape1032
    @palesaletape1032 3 місяці тому

    Thank you, this was so helpful👌

  • @kenfrank2730
    @kenfrank2730 18 днів тому

    Very good video, and I like your t-shirt.

  • @raoufbouattour555
    @raoufbouattour555 Місяць тому

    Best teacher ever !

  • @Mohajer-jt5tk
    @Mohajer-jt5tk 27 днів тому

    verty informative sir thanks alot

  • @vimlendukumar3334
    @vimlendukumar3334 4 місяці тому

    Thankyou for making video on this confusing topic

  • @user-yb3oj8fo6w
    @user-yb3oj8fo6w 2 місяці тому

    Great explain

  • @user-xv7ez7uu3c
    @user-xv7ez7uu3c 2 місяці тому

    U are the best❤❤

  • @rahatsshowcase8614
    @rahatsshowcase8614 3 місяці тому

    good explanation!

  • @sharonnovatus
    @sharonnovatus 6 місяців тому +2

    prime your lessons are very useful,as a good follower i have become competent in matrix and vectors,except matrix of linear transformation has been a problem,therefore i ask for your time to create a videa lecture about matrix of linear transformation......thank you......

  • @suyunbek1399
    @suyunbek1399 9 місяців тому +3

    These axioms are the same as for the definition of real numbers in my analysis class...

  • @artandata
    @artandata 2 місяці тому +1

    @ time=12:22 the last result should be "u", not zero since adding zero to any other vector doesn't change the other term vector.
    regards! (I really like the way you teach maths !!!!!)

  • @sksamrat4805
    @sksamrat4805 3 місяці тому

    🥹🥹🥹 india 🇮🇳 very perfect 🥰 exolanation i not found it in any indian channel so i seen ur video its very nice . The way u make me imaginative it very perfect 🥰

  • @Nutshell_Mathematica
    @Nutshell_Mathematica 9 місяців тому

    Wonderful

  • @abeacanice3867
    @abeacanice3867 4 місяці тому

    Please do video on direct sum. you are really wonderful, my head want burst but you are cooling it down

  • @duelingo8731
    @duelingo8731 Місяць тому

    ur the goat prime newton

  • @GivenChongo-xx3ff
    @GivenChongo-xx3ff 3 місяці тому

    Thanks I have benefited

  • @AlexanderSchwarz-ck3cx
    @AlexanderSchwarz-ck3cx 20 днів тому +1

    Thanks man, that helped

  • @nta699
    @nta699 2 місяці тому

    Nice explanation. However, you did miss adding zero to something that does not give you zero, but, that something. I wonder if you could give a short explanation of Tensors? Keep up the good work.

  • @baalmoloch5213
    @baalmoloch5213 Місяць тому

    you speak very clearly

  • @josephparrish7625
    @josephparrish7625 9 місяців тому +6

    Is the additive identity supposed to be u + 0 = u?

    • @PrimeNewtons
      @PrimeNewtons  9 місяців тому +2

      Yes

    • @veganath
      @veganath Місяць тому

      @@PrimeNewtons you were testing to see if we were paying attention.....lol. Great content thanks

  • @user-om3tl8ci7l
    @user-om3tl8ci7l 3 місяці тому

    Thank you sir

  • @musicphysics-mathematicsfu1840
    @musicphysics-mathematicsfu1840 2 місяці тому +1

    Mr. Newton, you behave mentally as your name sounds.Newton ALWAYS give NEW THINGS while teaching mathematics.
    Please, do you have playlist videos on
    1) Abstract Algebra
    2) Linear Algebra
    3) Real Analysis
    4) Mathematics Modelling
    5)Actuarial Mathematics
    6) Calculus
    7) Probabilities
    8) Statistics
    9) GEOMETRY
    10) TRIGONOMETRY.
    If not, we will love you to guide us through this journey.
    Thanks.
    Orekoya Olusegun
    Mathematics Department
    University of Ibadan,Ibadan,Nigeria ❤❤❤❤❤🇳🇬

    • @PrimeNewtons
      @PrimeNewtons  2 місяці тому

      Ha, I don't know all the math you're asking me o. I'm just an apprentice 🤣

    • @musicphysics-mathematicsfu1840
      @musicphysics-mathematicsfu1840 2 місяці тому +1

      @@PrimeNewtons Bros, am a disciple of your teaching styles, please, do a thorough research on the pile of topics I served earlier...you can do it by the grace of God.

    • @PrimeNewtons
      @PrimeNewtons  2 місяці тому

      @@musicphysics-mathematicsfu1840 Amen. Pray for me o 😂

  • @asagbajoseph4889
    @asagbajoseph4889 3 місяці тому +1

    They Need To arrest Those Prof!

  • @user-im8jx9mc7y
    @user-im8jx9mc7y 2 місяці тому

    🔥

  • @waitandforget
    @waitandforget 3 місяці тому +1

    You so clutch fr

  • @inutheextraterrestrial8872
    @inutheextraterrestrial8872 3 місяці тому

    ❤❤❤❤

  • @dawacom9342
    @dawacom9342 Місяць тому +1

    subscriber earned 😉

  • @aseab
    @aseab Місяць тому

    very nice

  • @logicpulse360
    @logicpulse360 Місяць тому

    Hey thank you for the video it is very helpful but can you just share some exercises related to these because people like me sometimes don't remember the concept for long if they haven't used it to solve problems, you may share in description after reacting to this comment

  • @rashedriju6990
    @rashedriju6990 29 днів тому

    please make a video on Basis and Dimension too

  • @ssteviefunkys9578
    @ssteviefunkys9578 2 місяці тому +1

    I like the spiritual message hehehe

  • @letsoalomogaumabolo1638
    @letsoalomogaumabolo1638 2 місяці тому

    shout out to you man

  • @punditgi
    @punditgi 9 місяців тому +3

    Prime Newtons has you need to learn math! ❤🎉😊

  • @user-id5do9ly3z
    @user-id5do9ly3z 6 місяців тому

    What is your academic background?

  • @kinanradaideh5479
    @kinanradaideh5479 9 місяців тому +3

    isnt the zero vector such that 0 + v = v ?

    • @ThenSaidHeUntoThem
      @ThenSaidHeUntoThem 9 місяців тому

      You are correct. That was a mistake. He explained correctly, though.

  • @gaganmishra273
    @gaganmishra273 Місяць тому

    Sir please make a video on subspaces

  • @josephparrish7625
    @josephparrish7625 9 місяців тому +2

    Do you make videos in your classroom? Do you teach college or high school?

    • @PrimeNewtons
      @PrimeNewtons  9 місяців тому +2

      Almost all videos are at home. Rarely elsewhere.

    • @josephparrish7625
      @josephparrish7625 9 місяців тому +2

      You have a blackboard in your home. How wonderful! I may have to get a board and start making some videos!

    • @PrimeNewtons
      @PrimeNewtons  9 місяців тому +2

      Currently, It's mainly high school but also college.

  • @jewulo
    @jewulo 9 місяців тому +1

    Would the complex number set also qualify as a vector space too?

    • @PrimeNewtons
      @PrimeNewtons  9 місяців тому +1

      Yes. A complex vector space.

  • @vincentmudimeli4430
    @vincentmudimeli4430 5 місяців тому

    indeed you demystify maths and make it easy

  • @BINGUX_BEAT
    @BINGUX_BEAT Місяць тому

    So sad I just found your channel this morning

  • @HuesofReality
    @HuesofReality 2 місяці тому

    congo man

  • @barrym5310
    @barrym5310 Місяць тому

    The additive identity property should not return 0; rather, it should return what is being added to 0.

  • @lamalamalex
    @lamalamalex 2 місяці тому

    I think there was a little bit of a mix up. The set of polynomials of degree 1 is NOT a vector space. Because you can always add a polynomial ax+b with -ax+c resulting in a zero degree polynomial which is NOT in the set of polynomials of degree one. Which is why it is said the set of polynomials of degree AT MOST n is a vector space. Not exactly n.

  • @user-he9nu6lk1p
    @user-he9nu6lk1p Місяць тому

    Hello sir, do you Facebook page that post about math exercise at university and some proof 😊

  • @krishnaraoragavendran7592
    @krishnaraoragavendran7592 Місяць тому

    2:02 set

  • @josemariaaijonjimenez6074
    @josemariaaijonjimenez6074 4 місяці тому

    On item 3, I think u+0 = 0+u = u, not 0.

  • @nothingbutmathproofs7150
    @nothingbutmathproofs7150 5 місяців тому

    Addition of polynomials of degree n is not always a polynomial of degree n.

  • @mvelohlombe2764
    @mvelohlombe2764 4 місяці тому +1

    could you please check 3rd operator, i think it should be u + 0 = u + 0 = u not 0

    • @PrimeNewtons
      @PrimeNewtons  4 місяці тому

      Yes, I pinned a comment to correct this.

  • @abushbayelign
    @abushbayelign 2 місяці тому

    full video sraln unit one vector and vector space

  • @sivasakthisaravanan4850
    @sivasakthisaravanan4850 3 місяці тому

    Mistake in axiom: 0 + u = u + 0 = u, NOT 0 as stated in the lecture.

  • @rftghost
    @rftghost 2 місяці тому

    Hmm, you should not use the same sign for scalar and for vector addition... It is not the same op. For #7

  • @czekiri
    @czekiri 3 місяці тому

    check 12:20

  • @sutheen
    @sutheen 3 місяці тому

    Sir come to my school please 🙏

  • @Imran52Feb
    @Imran52Feb 4 місяці тому +1

    U +0=0+u=U

    • @PrimeNewtons
      @PrimeNewtons  4 місяці тому +1

      I think I pinned a comment addressing that.

    • @Imran52Feb
      @Imran52Feb 4 місяці тому

      ​​@@PrimeNewtonsOK Sir . Sorry I didn't see that
      Also can you please tell me what vector space inner products are and how they are used in Quantum Mechanics ? Thank you.

  • @alimari786
    @alimari786 3 місяці тому

    u are cute

  • @gopikayala6551
    @gopikayala6551 Місяць тому

    I got answer for the question WTF is happening

  • @GivenChongo-xx3ff
    @GivenChongo-xx3ff 3 місяці тому

    0+u it should be u.

  • @ydyd1476
    @ydyd1476 4 місяці тому +1

    please come to my university, my professors are not as good as you 🥲

  • @umangsaini8559
    @umangsaini8559 Місяць тому

    Why legends like you are found just a day before exam🫠
    If I'd have found you atbthe beginning of my semester, I would have got A grade in Linear Algebra

  • @Heavenspace215
    @Heavenspace215 Місяць тому

    Wonderful