Geometry - Transformation using matrices - Math

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  • Опубликовано: 26 дек 2024
  • Learn how to rotate a vector by 90 degrees using matrix form in this step-by-step tutorial. We start by defining vector A, which is drawn graphically, and then multiply it by the rotation matrix R to obtain vector B. We simplify the calculation by multiplying each row by the corresponding column and then adding the results. Finally, we draw vector B graphically, connecting its points to form the vector. Follow along with the video to learn more about rotating vectors in matrix form!
    For more problems and solutions visit www.mathplanet.com
    #mathematics #maths #geometry #matrices

Комментарии • 51

  • @KelseaSparkles
    @KelseaSparkles 11 лет назад +55

    This might sound weird but you're a nice looking guy to be teaching math .

    • @willeett
      @willeett 10 лет назад +3

      Julia Twiford You should watch the comments on mathbff's channel.

    • @rulorg7782
      @rulorg7782 6 лет назад

      hahahah, i am about to write that XD

    • @barbchannel_
      @barbchannel_ 3 года назад

      What’s his name??!?😆😆😆😩😩😩

  • @nandiniankam4993
    @nandiniankam4993 4 года назад +7

    🔥 hotness overloaded

  • @Thatguy-nh4by
    @Thatguy-nh4by 6 лет назад +21

    Looks like someone forgot to edit some clip out... :)

  • @Crowe2Extreme
    @Crowe2Extreme 12 лет назад

    This matrix form of a vector was new to me. Thanks.

  • @theyeezyscript
    @theyeezyscript 8 лет назад +6

    "what have i done" hahahahaha but this was a really good video anyway, thanks!!

  • @aravindhvellaiyan2300
    @aravindhvellaiyan2300 3 года назад +3

    Hey Bro.. I'm from India.. These videos are interesting and really helpful.. Why don't you continue these..??

  • @ARG7856
    @ARG7856 8 лет назад +2

    Thank you so much, this helped me a lot!

  • @ritesha8050
    @ritesha8050 6 лет назад +4

    It's 90° anticlockwise?

  • @heidi9184
    @heidi9184 7 лет назад +15

    "what have I done."

  • @PunkyJessie
    @PunkyJessie 7 лет назад

    I love these videos! Could you please put them in playlists so if we wanted to stalk Algebra videos (or calculus, etc), your viewers could easily find them and play them back to back??

  • @timodonut
    @timodonut 12 лет назад +5

    Why would the rotaion matrix (R) be [0, -1, 1, 0] ?

  • @arnesarnautovic3679
    @arnesarnautovic3679 12 лет назад +2

    It would be better that matrix is in this form: upper row = -1, -1 lower row = 2, 3
    This is how it's in all books.
    That way the identity matrix would be: upper row = 1, 0 and lower row = 0, 1
    This makes students learn that multiplying the matrix A with identity matrix produces same matrix. So, student then "sees" that changing some 1 in the identity matrix to -1 produces transformation.

  • @superpanda9810
    @superpanda9810 12 лет назад

    are the 90 degree rotation matrix values standard.. or only in this example

  • @sameenabegum7398
    @sameenabegum7398 7 лет назад

    excellent explanation

  • @bartdude82
    @bartdude82 8 лет назад +51

    He's hot af lol

  • @sssttt2507
    @sssttt2507 7 лет назад

    thank you !!! i dont understand how it works but it works !

  • @therealjordiano
    @therealjordiano 13 лет назад

    awesome, thanks

  • @arnesarnautovic3679
    @arnesarnautovic3679 12 лет назад +1

    Just to add, the "rotation" is on y axis not x axis as I said but you get the point. x axis is mirrored and y isn't.

  • @HaniYacoub1995
    @HaniYacoub1995 13 лет назад

    thank you soo much

  • @InBeforTheLock
    @InBeforTheLock 13 лет назад

    very helpful

  • @arerarah6006
    @arerarah6006 9 лет назад +24

    omg, hes cute

  • @angelorf
    @angelorf 11 лет назад +1

    So the rotation is around the origin... would have been nice if you would've said that

    • @alanduae7986
      @alanduae7986 6 лет назад +1

      probably the only comment here which is not about how hot he is

  • @yagizyalcintasalumni3273
    @yagizyalcintasalumni3273 5 лет назад

    why did we do R.A instead of A.R? and I think it is cross product which is ''x'' instead of ' dot product '.'

  • @llamabeam
    @llamabeam 9 лет назад +1

    Can you consider wearing blue? Maybe a polo :))

  • @JackScotful
    @JackScotful 2 года назад

    You were going to fast in this video, i wish you used lines to show wich numbers were from wich rows and columbs, and if you didn't just use 1ns and zero's i would have understood it better, becuase i didn't know wich zero or wich one your were talking about.

  • @psychicrl6856
    @psychicrl6856 6 лет назад +5

    Did he get fired or something he hasn't uploaded in 6 years 😰

  • @vannadevon3832
    @vannadevon3832 10 лет назад +1

    ***** I know this was 2 years ago, but I thought decimal points are like periods, and go in the bottom. Every calculator I've used in my life has had a decimal point at the bottom.

    • @robotx48
      @robotx48 10 лет назад

      Decimals separate the integers from the fractional numbers. In the US, decimal points are represented at the bottom, with a period symbol, whereas in Britain, they are represented in the center, with a period, and in other parts of the UK, they use commas to represent decimals.

    • @EllisJohnsonTheBest
      @EllisJohnsonTheBest 10 лет назад +1

      Robot never heard of that comma method, and i live in UK

  • @DarkGT
    @DarkGT 4 года назад

    He seems to be learning and teaching in parallel.

  • @arnesarnautovic3679
    @arnesarnautovic3679 12 лет назад

    Read my comments. It should be clearer because I think he made a mistake and it is clearer using my suggestion.

  • @JackScotful
    @JackScotful 2 года назад

    I thought negative one Plus negative one is negative two not positive one! This stuff is too tricky!

  • @netgrim
    @netgrim 11 лет назад

    [cos(90), -sin(90), sin(90), cos(90)]

  • @comptonparkable
    @comptonparkable 11 лет назад

    Correcto this was confusing till i saw your comment

  • @crosstheboss3140
    @crosstheboss3140 6 лет назад +2

    your cute