iii) If C = (-8 -6) then the matrix CCT: while CTC is the same as CCT a vector a square matrix O undefined. well as a Suppose that A = any 2 x 2 matrix X. We say that A commutes with any other matrix X. Looking at the special case X = c=0 b c=0 is a 2 x 2 matrix with the property that AX = XA for Looking at another special case X = 1 0 A = 0 8). Note: the maple notation for the matrix we can deduce that b=0 1 (83) 0 0 as well as a=d Putting these two facts together, we deduce that A must have a rather special form. Give a non-zero example of such a matrix A, whose elements are chosen from the set {0,3,7} we can conclude (again) that 1 (32) 4 as is < < 1 2 >, < 3|4 >>.