rIfrue / False, Multiple choice, Short answer 1. (8 pts) True or False. There is no partial credit. You do not need to Show work. If the statement is always true, answer True. Otherwise, answer False. (a) T (:3) = ($331) is a linear transformation. (b) If A is a 4 x 9 matrix and T(a:) = A9: is onto. then dim Nul(A) = 5. (c) A linear transformation T : R3 > R4 must be onetoone. 1 2 (d) If A 1 = 2 , then the range of T(:c) = (A + 2I):c is not R3. 0 0 For the remaining T/ F questions, A and B are n X n matrices. (e) (A B)2 = A2 2AB + B2. (f) If An: = 0 has only the trivial solution, then every b in IR\" is a linear combination of the columns of A. (g) If A has a pivot in every row, then the columns of A are linearly independent. (h) If A and B are both invertible, then det(AB) 75 0