Orthogonal matrices | Lecture 7 | Matrix Algebra for Engineers

Definition of orthogonal matrices.
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Lecture notes at www.math.ust.hk/~machas/matrix...
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Пікірлер: 36

  • @ProfJeffreyChasnov
    @ProfJeffreyChasnov4 жыл бұрын

    Find other Matrix Algebra videos in my playlist kzread.info/head/PLkZjai-2Jcxlg-Z1roB0pUwFU-P58tvOx

  • @bop289
    @bop2893 жыл бұрын

    I wish this was my class during covid enviorment

  • @nihasinghania3269

    @nihasinghania3269

    2 жыл бұрын

    True that!

  • @elizabethkourbatski6413
    @elizabethkourbatski64133 ай бұрын

    Wow wow wow, amazing. Hours of pounding my head and finally get it!

  • @smeshdoggo1954
    @smeshdoggo19544 жыл бұрын

    Short and easy to understand, thanks!

  • @ayushwithasingle_a
    @ayushwithasingle_a Жыл бұрын

    If two vector are orthonormal, does that mean we can use those vectors as basis vectors? (Also Does basis vector need to be normalised?)

  • @najmakhatak730
    @najmakhatak7302 жыл бұрын

    your videos are helpful

  • @bagelbiscuitthesnapgod4156
    @bagelbiscuitthesnapgod41562 жыл бұрын

    brilliant explanation

  • @pipertripp
    @pipertrippАй бұрын

    very helpful. Allowed me to reason about the answer to a question in my problem set.

  • @thebarnold7234
    @thebarnold72342 жыл бұрын

    bloody brilliant video

  • @pranshumahajan537
    @pranshumahajan537 Жыл бұрын

    Thanku so much sir

  • @vamshikrishnakoganti3264
    @vamshikrishnakoganti32643 жыл бұрын

    Are you actually writing in a mirror image so that we can read?? Or is it a post production where two video's are synchronized..? If yes, hats off ....!!

  • @0isab423

    @0isab423

    2 жыл бұрын

    its probably just flipped afterwards in editing

  • @user-eu4mz6cq4x
    @user-eu4mz6cq4x2 жыл бұрын

    thanks, great video! but for the explaining after kzread.info/dash/bejne/e3t2z4-gitXfhqw.html, why in such order? can the parentheses from the last two terms in the formula be removed, and combine other two terms in the formula?

  • @naimgorgani953
    @naimgorgani9535 жыл бұрын

    I suggest showing an actual matrix and then tell that this is this kind of matrix. Instead of introducing the matrix type verbally and directly jumping into properties. If not shown an actual matrix, these Qs and other matrix notations are only letters for us.

  • @ProfJeffreyChasnov

    @ProfJeffreyChasnov

    5 жыл бұрын

    Look at my video on Rotation matrix. Or Permutation matrices. These matrices are orthogonal.

  • @daniawahab2865

    @daniawahab2865

    3 жыл бұрын

    I am searching the images of the special type of matrices on the coordinate axis.

  • @t1mma
    @t1mma3 жыл бұрын

    Recommended 3years later, now 2021🦅

  • @johncharles3907
    @johncharles39074 жыл бұрын

    Great video! What is norm?

  • @ProfJeffreyChasnov

    @ProfJeffreyChasnov

    4 жыл бұрын

    Square root of the sum of the squares of the components (row elements).

  • @touheedkhalid3412
    @touheedkhalid34122 жыл бұрын

    @ 2:47, how does (Qx)T (Qt) equate to norm of (Qx). As mentioned in the video, its by definition. Have I missed something or there is something else. Thanks for these great lectures. really helpful

  • @dankprole7884

    @dankprole7884

    2 жыл бұрын

    I had exactly the same question! If Q is dimension m by n, then x must be a column vector of dimension n by 1 because it is a vector. If you multiply Q by x then you get a column vector Qx of dimension m by 1. So (Qx)T is a row vector of dimension 1 by m. The squared norm of a vector u is the inner product uT u. So (Qx)T (Qx) is the squared norm of Qx.

  • @touheedkhalid3412

    @touheedkhalid3412

    2 жыл бұрын

    @@dankprole7884 Thanks Dank. Great explanation. Now I can see that clearly. 👍

  • @kario360
    @kario3606 ай бұрын

    I didnt understand anything but great video btw. guess I have to find a beginner friendly one

  • @NoRa-ws8fo
    @NoRa-ws8fo3 жыл бұрын

    QQ'=I only if its a square matrix right ?

  • @ahmetkaansever6439

    @ahmetkaansever6439

    2 жыл бұрын

    you can't even take the inverse of a matrix if it is not a square matrix so technically you are correct

  • @curtpiazza1688
    @curtpiazza16884 ай бұрын

    Great! 😂

  • @everlynnjuguna6634
    @everlynnjuguna66342 жыл бұрын

    💯🔥

  • @germin1983
    @germin19832 жыл бұрын

    he's definitely jeff benzos brother

  • @syedaiman5705

    @syedaiman5705

    2 жыл бұрын

    I think he looks more like a particular person who has many different professions .

  • @gaganc7250

    @gaganc7250

    Жыл бұрын

    @@syedaiman5705 or Mike from Breaking bad or bcs

  • @GoToMan

    @GoToMan

    Жыл бұрын

    @@syedaiman5705 Haram

  • @jacobvandijk6525
    @jacobvandijk6525 Жыл бұрын

    A stunning lack of examples. Talk less, write more!

  • @GoToMan

    @GoToMan

    Жыл бұрын

    Come on, don't be so harsh. Whatever he said, he said it to the point.

  • @prasaddalvi6426
    @prasaddalvi64262 жыл бұрын

    men of culture ?