I keep hearing that if you have an RR^3 space you need 3 elements to fill the space. So, let's consider a column vector. I understood 3 elements to mean = 3 column vectors with 3 elements each. As you can't span RR^3 with JUST one or two vectors even if they each have 3 elements. Correct? Could you technically somehow take 2 column vectors with 4 elements to span RR^3? I'm guessing not.

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