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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- Nov 19th 2010, 08:52 AMsavageqmfinding 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. - Nov 19th 2010, 09:01 AMmatt.qmar
How many vectors do you need to form a basis?

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

So if there are 3 vectors needed to form a basis.... - Nov 19th 2010, 09:08 AMsavageqm
That would then make the Dimension 3 correct?

- Nov 19th 2010, 11:19 AMmatt.qmar
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.