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

Question

Quantrex Academy · Accepted Answer

Correct answer: D. 4

Using the property of determinants, |AB| = |A||B|. Therefore, |AA^ T | = |A||A^ T |. Since the determinant of a matrix is equal to the determinant of its transpose, |A^ T | = |A|. Substituting this into the equation gives |AA^ T | = |A||A| = |A|^2. Given |A| = -2, we get |AA^ T | = (-2)^2 = 4. Answer: 4

NDA Mathematics Question (2026) — Solution

Question

Options

Answer

Step-by-step solution