We say a square matrix A is anti-symmetric if A = -A. Denote the set of 3 x 3 anti- symmetric matrices V. a) Show that V is a vector space. b) What is the dimension of V? c) Find a basis of V. d) Show that 0 -1 -1] 0 2 O O' B = B1 = 1 0 -1 , B2 = -2 0 -1 , B3 = 1 W O 1 0 0 0 N 1 form a basis for V