If A is a diagonal matrix of order 3xx3 ...

If `A` is a diagonal matrix of order `3xx3` is commutative with every square matrix or order `3xx3` under multiplication and `t r(A)=12 ,` then the value of `|A|^(1//2)` is ______.

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A diagonal matrix is commutative with every square matrix if it is scalar matrix, so every diagonal element is 4. Therefore,
`|A|=64`

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