Find the transition matrix representing the coordinates on R2x2 from the ordered basis:

F = [
(1 0 (1 0 , (0 1 ,(0 1
0 1), 0 -1) 1 0) -1 0) ]

to the standard basis:

E = [
(1 0 (0 1 ,(0 0 (0 0
0 0), 0 0) 1 0), 0 1) ]