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Math Help - Linear Algebra Help - Question 2!

  1. #1
    Junior Member
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    Linear Algebra Help - Question 2!

    Please help me in these problems

    Determine which of the four inner product axioms do not hold. give a specific example in the case.

    In P2, define <p(x), q(x)> = p(0)q(0)


    axioms:
    1) <u, v> = <v,u>
    2) <u, v+w> = <u, v> + <u, w>
    3) <cu, v> = c<u, v>
    4) <u, u> greater than or equal to 0 if and only if u = 0
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  2. #2
    Super Member Gamma's Avatar
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    P2?

    I dont know what P2 is, but I am guessing these are polynomials. p(0) is just evaluating at 0 which always leaves the constant term of a polynomial. 4 fails for many reasons, for one, if p(x)=x then <p(x), p(x)> = p(0)*p(0)=0*0=0 but p(x)=x is not the 0 polynomial.
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