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Smazmbazm
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Homework Statement
Determine whether each of the following is a subspace of ℝ3, and if so find a basis for it:
a) The set of all vectors (x, y)
b) The set of all vectors of the form (sin2t, sintcost, 3sin2t)
Can someone please explain to me how you determine whether these are subspaces and what their bases are? I find this topic quite confusing and don't really know if my ideas about it are correct.
Can (x,y) be a subspace of ℝ3? Don't there have to be 3 variables (e.g. x, y and z) for it to be a subspace?
Thanks
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