Gram-Schmidt process example | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy

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Using Gram-Schmidt to find an orthonormal basis for a plane in R3
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Пікірлер: 45

  • @onebenp
    @onebenp14 жыл бұрын

    I've been going through the playlist of linear algebra and am really thankful for all the work that you have put in into creating the series. I am not able to attend any kind of formal courses due to Visa restrictions, but your videos are helping me to continue the pursuit of my education until I can go to university. Thank you again.

  • @domogami
    @domogami3 жыл бұрын

    Wow, Here I am using this video from 11 and a half years ago to study for a Numerical Optimization midterm. I cannot thank Khan Academy enough

  • @mathsvlog2143
    @mathsvlog214313 жыл бұрын

    @ZaneMcCaig Gram Schmidt not only gives you a matrix in which every vector is a unit vector, but it also forms an orthogonal basis in which every vector is perpendicular to every other vector. Orthogonal matrices have some very useful properties (for example, orthogonal Q inverse = Q transpose; also, Q times Q transpose makes a projection matrix). This process may seem like a lot of work (and it is), but the result is very useful. =Math

  • @petah604
    @petah60414 жыл бұрын

    thank you, final in 8 hours, helped clarified things

  • @malladiravikishorevarma8165
    @malladiravikishorevarma81659 жыл бұрын

    finnally.........thank you so much sir

  • @dossie157
    @dossie1576 жыл бұрын

    How do you make an extra vector (u3 or v3) to this basis? Since there are three coordinates in the vector is it possible?

  • @Lortivar
    @Lortivar10 жыл бұрын

    Linear Algebra final today! Here goes nothing...

  • @ceciliarui
    @ceciliarui13 жыл бұрын

    excellenct!

  • @actiongaming3302
    @actiongaming33023 жыл бұрын

    giving online exam in exam helped me

  • @sunitachettri2716
    @sunitachettri27166 жыл бұрын

    The absolute value or distance of Y2 =root 6/2 .if I am wrong please correct .

  • @igotsth
    @igotsth7 жыл бұрын

    isn't

  • @Javlini
    @Javlini8 жыл бұрын

    09:15

  • @Phagocytosis
    @Phagocytosis10 жыл бұрын

    Have you tried watching it at 2x speed?

  • @malekhakim
    @malekhakim11 жыл бұрын

    the program of Gram Schmidt Process for a dimension d*n

  • @yonghuiliew8066
    @yonghuiliew80664 жыл бұрын

    Why do you assume x2 and x3 as free variables at the beginning of the video?

  • @MrPeeepe
    @MrPeeepe11 жыл бұрын

    Good lesson, but too slow.

  • @MannyFreshNovoa
    @MannyFreshNovoa7 жыл бұрын

    Sometimes you just need to get to the answer

  • @willeett
    @willeett9 жыл бұрын

    Can't we just get the formula and how to use it?

  • @MannyFreshNovoa
    @MannyFreshNovoa7 жыл бұрын

    Your explanation is more complicated

  • @mynameismegaloser
    @mynameismegaloser13 жыл бұрын

    I'm not really sure how using the f word relates with being in the university.