The first one is dependent and the second one is independentIf there is dependent, please find the coefficient Let V be a vector space and suppose that {u, v, w} is an independent set of vectors in V. For each of the following sets of vectors, determine whether it is linearly independent or linearlydependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector.a) {2v+2w, -3u+2w, -3u-2v}is linearly dependent0 (2v+2w) + 0 (-3u+2w) + 0 (-3u-2v) = 0b) {3v-w, -2u-3w, u+2v}is linearly dependent0 (3v-w) + 0 (-2u-3w) + 0 (u+2v) = 0 Let V be a vector space and suppose that {u, v, w} is an independent set of vectors in V. For each of the following sets of vectors, determine whether it is linearly independent or linearlydependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector.a) {2v+2w, -3u+2w, -3u-2v}< Select an answer >b) {3v-w, -2u-3w, u+2v}< Select an answer >

Answered: Image /qna-images/answer/5b1a234e-3af7-4b21-9212-809d370841b9.jpg

Let V be a vector space and suppose that {u, v, w} is an independent set of vectors in V. For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. a) {2v+2w, -3u+2w, -3u-2v} < Select an answer >