try multipy by conjugate:
(e + ex + ey + exy)( e + ex + ey - exy)
| a.e | a.ex | a.ey | -a.exy | |
| b.e | e | ex | ey | -exy |
| b.ex | ex | e | exy | -ey |
| b.ey | ey | -exy | e | +ex |
| b.exy | exy | -ey | ex | e |
e = 4e
ex = 4ex
ey = 0
exy = -exy+exy-exy+exy =0
| a.e | a.ex | a.ey | a.exy | |
| b.e | e | ex | ey | exy |
| b.ex | ex | e | exy | ey |
| b.ey | ey | -exy | e | -ex |
| b.exy | exy | -ey | ex | -e |
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