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Math Help - finding dimensions in subspace r^4

  1. #1
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    finding dimensions in subspace r^4

    Am trying to find the dimension in the subspace of R^4 but, am confuse because the question is asking me:

    All vectors of the form (a,b,c,0)


    am just confuse in the vector form.
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  2. #2
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    How many vectors do you need to form a basis?

    Maybe {(1,0,0,0), (0,1,0,0), (0,0,1,0)} forms a basis for the subspace?

    So if there are 3 vectors needed to form a basis....
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  3. #3
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    That would then make the Dimension 3 correct?
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  4. #4
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    From Wikipedia article on dimension:

    The dimension of a vector space is the number of vectors in any basis for the space, i.e. the number of coordinates necessary to specify any vector. This notion of dimension (the cardinality of a basis) is often referred to as the Hamel dimension or algebraic dimension to distinguish it from other notions of dimension.
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