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How to obtain (or generate ) positive semidefinite matrices A,B,C that satisfy the matrix equation A3+B3=2C3 using a sage code?

How to obtain (or generate ) positive semidefinite matrices A,B,C that satisfy the matrix equation A3+B3=2C3 using a sage code

How to obtain (or generate ) positive semidefinite matrices A,B,C that satisfy the matrix equation A3+B3=2C3 using a sage code?

How to obtain (or generate ) positive semidefinite integer entry matrices A,B,C that satisfy the matrix equation A3+B3=2C3 using a sage code