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Let a,b,c be positive real numbers with ...

Let a,b,c be positive real numbers with abc=1 let A `=[{:(a,b,c),(b,c,a),(c,a,b):}] if A ^(T) A =I` where ` A^(T)` is the transpose of A and I is the identity matrix , then determine the value of `a^(2) +b^(2)+c^(2) `

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