Please solve 1a) 1b) 1f)

EXERCISES 1. Label the following statements as true or false. In each part, V, W, and Z denote vector spaces with ordered (finite) bases a; S, and y, respectively; T : V - W and U: W - Z denote linear transformations; and A and B denote matrices. (a) [UT]a = &3. (b) [T(v)]s = [T] [v]a for all v E V. (c) [U(w)]s = [w]s for all we W. (d) [lv]a = 1. (e) [T218 = ([T]8) 2. (f) A2 = I implies that A = I or A = -I. (g) T = LA for some matrix A. (h) A2 = O implies that A = O, where O denotes the zero matrix. (i) LAtB = LA + LB. (j) If A is square and Aij = bij for all i and j, then A =