If A is a square matrix such that \( |A| = -2 \), then \( |AA^T| \), where \( A^T \) is the transpose of A, is equal to

  1. A. -4
  2. B. 1
  3. C. 2
  4. D. 4

Correct Answer: D. 4

Explanation

Using the properties of determinants, |AA^T| = |A| \times |A^T| = |A|^2. Substituting |A| = -2, we get (-2)^2 = 4.

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