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Math Help - problem on determining if a set is a linear space

  1. #1
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    problem on determining if a set is a linear space

    how to prove that the set "all f with f(0) = f(1)", function has domain containing 0 and 1; is a linear space?
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    Re: problem on determining if a set is a linear space

    Quote Originally Posted by akash1600 View Post
    how to prove that the set "all f with f(0) = f(1)", function has domain containing 0 and 1; is a linear space?
    Do you know what a linear space is?
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  3. #3
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    Re: problem on determining if a set is a linear space

    The standard way of proving "X is Y" is to use the definition of X to show that it also satisfies the definition of Y.

    Here, X is the all functions, f, such that f(0)= f(1). Now, you need to show that that set satisfies the definition of "linear space"- that's just what Plato is asking.
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