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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?

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

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?

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