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Determinantshard
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Let AAA be the 4×44 \times 44×4 matrix defined by Aij=max⁡(i,j)A_{ij} = \max(i, j)Aij​=max(i,j) for 1≤i,j≤41 \leq i, j \leq 41≤i,j≤4. What is the determinant of AAA?