3. For each of the following statements, indicate whether they are true or false. If a statement is true, prove it. If a statement is false, give a counterexample. (a) For two permutations a, ẞ in the symmetric group Sym(n), if a is odd, then the conjugation B-1 aẞ is also odd. (b) For three square matrices A, B, and C of the same size, if AC (c) Let A be a 3 × 3 matrix over R such that AT = -A (where AT is the transpose). Then det(A) = 0. = BC, then A = B.