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Step-by-Step Solution
Key Concept: The problem involves equating two determinants and finding the minimum value of a ratio given positive variables. By evaluating the determinants or using properties of determinants, one can simplify the expression to find the relationship between a, b, and c.
The given equation is a determinant equality. By simplifying both sides, we can establish a relationship between a, b, and c. Given a, b, c > 0, we can apply the AM-GM inequality or other optimization techniques to find the minimum value of c^2/ab.
Correct Answer: 4