Question: need help with this linear algebra question 4. True or False? [1) Let T : V ~> W be a linear transformation and v1,v2,. ..

need help with this linear algebra question

4. True or False? [1) Let T : V ~> W be a linear transformation and v1,v2,. .. ,Vn be vectors in V. If T(v1},T(v2), . . . , Than) are linearly independent, then v1, v2, . . . , V\" are also linearly independent. (2) Let T : V - W be a linear transformation and V1, V2, ..., Vn be vectors in V. If V1, V2, . . ., Vn are linearly independent, then T(v1), T(v2), ....T(Vn) are also linearly independent. (3) Let V1, V2, . .., Vn span V and let T : V - W. Do the images (v1), T(v2), .... T(Vn) span W

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