Stunned

Algebra Level 5

If \(7\log (t_{r}(A)) \leq 4 \log 7\) where \(A\) is a diagonal matrix of order 7 with positive entries and \(|A|=7^{-3}\) then \(t_{r}(A^{2}) =p\),

Find \(p^{6}\)

Note: \(t_{r}(A)\) denotes trace of matrix A.

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