Show that the matrix representation of the dihedral group D4 by M is irreducible.

You are given that all of the elements of a matrix group M can be generated

from the following two elements,

A=

|0 -1|

|1 0|

B=

|1 0|

|0 -1|

in the sense that all other elements can be written A^n B^m for integer m, n >or= 0.

Find the remaining elements in M.