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Math Help - dimension of a subspace

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    dimension of a subspace

    A subspace W of R is defined by W={(x, 2y, 3z): x, y, z belongs to R }. How to find the dimension of W?
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    Re: dimension of a subspace

    Quote Originally Posted by Suvadip View Post
    A subspace W of R is defined by W={(x, 2y, 3z): x, y, z belongs to R }. How to find the dimension of W?
    What is R~?
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    Re: dimension of a subspace

    Quote Originally Posted by Plato View Post
    What is R~?
    R is the set of real numbers.
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    Re: dimension of a subspace

    Quote Originally Posted by Suvadip View Post
    R is the set of real numbers.
    Then W cannot be a subspace of \mathbb{R}~!
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    Re: dimension of a subspace

    Sorry for the serious mistake in my post . The original question is
    Show that W={(x, 2y, 3z): x, y, z belongs to R },where R is the set of real numbers, is a subspace. Find the dimension of W.

    I know the solution of the first part. Please help me for the second part.
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    Re: dimension of a subspace

    Quote Originally Posted by Suvadip View Post
    Sorry for the serious mistake in my post . The original question is
    Show that W={(x, 2y, 3z): x, y, z belongs to R },where R is the set of real numbers, is a subspace. Find the dimension of W.
    I know the solution of the first part. Please help me for the second part.
    Well \{(1,0,0),~(0,2,0),~{(0,0,3)\}\subset W.
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