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(6) 5. (traditional). The vectors V1, V2, ,..., Vn E R, n 2 4 and are linearly independent. Determine if the following vectors are also

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(6) 5. (traditional). The vectors V1, V2, ,..., Vn E R", n 2 4 and are linearly independent. Determine if the following vectors are also linearly independent. a) the vectors V1 - V2, V2 - V3, V1 - V3. b) the vectors v1 - V2, 2 (V2 - V3), 3(V3 - V4), ..., (V6 - V1). c) the vectors v1, V2 + 2v1, V3 + 3v2, V4 + 4v3, ..., Vn + nVn-1

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