Suppose that S = (VI. '0' 2. '0'3) is a linearly independent set of vectors in a vector

Chapter 4, Problem 21

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Suppose that S = (VI. '0' 2. '0'3) is a linearly independent set of vectors in a vector space V. Is T = (WI. W2. w)l. where WI = VI + '0'2. W, = '0'1+ '0'). W) = v,+vJ.linearly dependent or linearly independent? Justify your answer.

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