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From this collection, I want to find (if there is any) three matrices A,B,C satisfying A+B=C

 M = MatrixSpace(ZZ,2,2)
 s=matrix([[1,0],[0,1]])
 for A in M:
    if A^3==s:
    show(A)

From this collection, I want to find (if there is any) three matrices $A,B,C$ satisfying $A+B=C$ . But I am not getting that..

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