3-10. True or False: (a) If u and v are column vectors in R", then u . v = uTv. (b) If A is a square matrix satisfying A2 = 0, then A = 0. (c) If A is a square matrix satisfying A2 = A, then A = :|:I or A = 0. (d) There is a square matrix A (of any dimension) such that A2 = I. (e) If A and B are invertible n X n matrices, then ABT is invertible. (f) If A and B are non-invertible, then A + B is non-invertible. ) (g The equation Ax = 0 has a solution for any matrix A