TRUE or False : Please justify brieffly

Math 320 7 Shubin Fu. Spring 2011] a) The set V of all (x, y, z) in R3 so that xyz = 2020 is a subspace of R3. b) If a nite set S of vectors is linearly independent, then any subset T of S is also linearly independent. c) A 4 X 3 matrix A can have rank 4. (I) Let in , L12, . . . , uk be nonzero vectors in R\". Then dim(Span{u1,u2, . . . ,uk})= k. e) Any four vectors u1,u2, 43,144 in R3 are linearly dependent