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Answers for “如果它不是绝对值,为什么使用符号 $|A|$?”

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No, the determinant is a scalar value that can be positive, zero, or negative. It is explicitly not a matrix absolute value, despite the notation ∣A∣|A| sometimes being used.

Conditions: The object is a square matrix.; The notation ∣A∣|A| or det⁡(A)\det(A) is being interpreted.