If A^(-1)=[(sin^(2)alpha, 0, 0),(0, sin^...

If `A^(-1)=[(sin^(2)alpha, 0, 0),(0, sin^(2)beta,0),(0, 0,sin^(2)gamma)] and B^(-1)=[(cos^(2)alpha, 0, 0),(0, cos^(2)beta,0),(0, 0,cos^(2)gamma)]` where `alpha, beta, gamma` are any real numbers and `C=(A^(-5)+B^(-5))+5A^(-1)B^(-1) (A^(-3)+B^(-3))+10A^(-2)B^(-2)(A^(-1)+B^(-1))` then find |C|.

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