Answer: A = -A T.
- A A = A<sup>T</sup>
- B A = -A<sup>T</sup>
- C det(A) = 1
- D A = 2A<sup>T</sup>
Correct answer: B. A = -A<sup>T</sup>
Explanation: A is skew-symmetric if A = -A<sup>T</sup>, meaning a<sub>ij</sub> = -a<sub>ji</sub>. All diagonal elements of a skew-symmetric matrix are zero.
Element aij of matrix A sits at the intersection of row i and column j.
Concept context
Matrix operations, determinants, inverses, and solving linear systems