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Consider the following vectors {1 -x, 1+ x, x-2} A. test or refute if the vector...

Consider the following vectors
{1 -x, 1+ x, x-2}

A. test or refute if the vector set is linearly independent

B. build a linearly independent set of dimension 1, describe the shape of the generated space

C. build a linearly independent set of dimension 2, describe the shape of the generated space

D. for the base you chose in part c, find a linear combination for p(x)=7 - x
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