Let v , v , v be three linearly independent vectors in a vector space V. Is the set

{ v ? 2v , 2v ? 3v , 3v ? v } linearly independent or linearly dependent? Justify 122331

your answer.

Let v, V2, V be three linearly independent vectors in a vector space V. Is the set ( v, -2v2, 2v, -3v,, 3v, -v linearly independent or linearly dependent? Justify your