# gr.group idea – If \$ ABCD = DCBA = I \$, does it denote \$A = C\$ and \$B = D\$? retort

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## gr.group idea – If \$ ABCD = DCBA = I \$, does it denote \$A = C\$ and \$B = D\$?

If $$A,B,C,D$$ are invertible sq. matrices of precise numbers and $$ABCD = DCBA = I$$, the place $$I$$ is an identification matrix,
does it denote $$A = C$$ and $$B = D$$?

I went so far as writing $$ABCD = CDAB = DCBA = BADC = CBAD = ADCB = BCDA = DABC = I$$.

I’m not a mathematician, however I maintain a emotion this could breathe resolved utilizing group algebra and extra superior theories.

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