# 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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