Basis and dimension of a subspace

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Show that a set of vectors spans a subspace and find the dimension ofthe subspace. Reference to David Lay's text Linear Algebra and its Applications
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Only video out there that uses a general vector (i.e. x, y, z) example, so very very heloful, thank you!

Dillyj
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ZEH!! , great vid man keep 'em coming!!

drrojas
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Good Questions. I am not sure what is the intended purpose of this question.... Without giving too much info: The basis of this subspace is {x^2(x-1)^2} and hence the dimension of this subspace is 1

S