How to obtain (or generate ) positive semidefinite matrices $A,B,C$ that satisfy the matrix equation $A^3+B^3=2C^3$ using a sage code? [closed]

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First, the question is ill-posed as currently it admits solution $A=B=C$ and there infinitely many such matrices. Second, this is an algorithmic question, which is not directly relevant to Sage. It's more suitable to ask at https://cs.stackexchange.com/