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xcrypt

  • 2 years ago

In this page: http://en.wikipedia.org/wiki/Projection_(linear_algebra)#cite_note-0 (and in my book) In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that P^2 = P What is the meaning of P^2 here?

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  1. estudier
    • 2 years ago
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    No sure what u mean, isn't it just as it says at the top of http://en.wikipedia.org/wiki/Projection_(linear_algebra) ie P^2 = P(P(v))

  2. xcrypt
    • 2 years ago
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    I don't mean anything, I'm asking what is meant by it. It might be what you claim, but how is this operation called (at first I thought it was cartesian product or something), and where do you see it at the top?

  3. estudier
    • 2 years ago
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    Here http://en.wikipedia.org/wiki/Projection_(linear_algebra)#Simple_example

  4. xcrypt
    • 2 years ago
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    I found what is meant by it: http://en.wikipedia.org/wiki/Function_composition

  5. estudier
    • 2 years ago
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    P(P(v)) IS function composition....:-)

  6. phi
    • 2 years ago
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    P is a projection matrix. if you have a vector x Px will give you a vector in some subspace. if x is already in that subspace then you would get x= Px if we sub n Px for x in the equation x=Px we get x= PPx from which we see Px= PPx or P= P^2

  7. xcrypt
    • 2 years ago
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    @ estudier yeah it's a function composition but you didn't tell me what it was called at first :)

  8. estudier
    • 2 years ago
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    True, you didn't ask for that, though, u asked for the meaning...

  9. xcrypt
    • 2 years ago
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    I did ask for it, but it's no problem really :D

  10. estudier
    • 2 years ago
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    K

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