设A是n阶实对称矩阵，则下列条件中与'A为正定矩阵'不等价的是：

答案解析

核心考点：正定矩阵的等价条件。 解题思路：D选项是正定的必要条件但非充分条件。 选项分析： A正确（合同于单位阵） B正确（特征值条件） C正确（正惯性指数为n） D不等价，满秩矩阵不一定是正定 易错点：容易将满秩视为正定条件。
正确答案：D
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