If A is a square matrix such that |A|=-2 , then |AA^ T | , where A^...

Using the property of determinants, $|AB| = |A||B|$.

Therefore, $|AA^{\text{T}}| = |A||A^{\text{T}}|$.

Since the determinant of a matrix is equal to the determinant of its transpose, $|A^{\text{T}}| = |A|$.

Substituting this into the equation gives $|AA^{\text{T}}| = |A||A| = |A|^2$.

Given $|A| = -2$, we get $|AA^{\text{T}}| = (-2)^2 = 4$.

Answer: $4$