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Math Help - Vector Matrix vs Matrix Norms

  1. #1
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    Vector Matrix vs Matrix Norms

    Hey guys, I have a question regarding a question of an assignment I have, and I'll describe my attempt at a solutionVector Matrix vs Matrix Norms-untitled.pngSo I figured it should be pretty easy. I only need to prove the following three conditions for ||x|| to be a vector norm1.||x||>= 0 , for x is in Rn and ||x|| = 0 iff x=02. ||ax|| = |a| * ||x|| for x is in Rn and a is in R. ||x + y||

    edit: "a is in R"
    Last edited by emonimous; March 29th 2012 at 10:38 AM.
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  2. #2
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    Re: Vector Matrix vs Matrix Norms

    The matrix norm of a matrix, and the function defined here of vector x, is a number. What number is it for this x?
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  3. #3
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    Re: Vector Matrix vs Matrix Norms

    Isn't the vector norm represented by
    ||x||p = (sum from k=1 to n, |xk|)1/p
    Is this the number you're referring to?

    I apologize for my lack of latex coding. I've been trying to use it but have been failing miserably.
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