Lomework ) by matrix representation, for Czy point group, (properties of the group) a) show that the product of any two symmetry elements in the group is a symmetry element in the group, for example: o xy C2 , Oxy xz b) the inverse of an element is an element in the group, o C2 c) there is an element in the group, commute with all symmetry element in the group d) the association law applied by matrix representation, (0 xy xz) C2, C2 (0 xy. O xy) e) there is an element which commute with all symmetry elements in the group , -1 what is the matrix that represents C3. operation ? What its inverse by matrix representation Lomework ) by matrix representation, for Czy point group, (properties of the group) a) show that the product of any two symmetry elements in the group is a symmetry element in the group, for example: o xy C2 , Oxy xz b) the inverse of an element is an element in the group, o C2 c) there is an element in the group, commute with all symmetry element in the group d) the association law applied by matrix representation, (0 xy xz) C2, C2 (0 xy. O xy) e) there is an element which commute with all symmetry elements in the group , -1 what is the matrix that represents C3. operation ? What its inverse by matrix representation