Question

A square matrix \[A=[a_{ij}]_{n\times n}\] is skew-symmetric when which condition holds?

Options

• \[A-A^T=-A\]

• \[A^T=A\]

• \[A^T=-A\]

• \[A+A^T=A\]

Answer 1

A skew-symmetric matrix is defined by \[A^T=-A\]. On transposition, every entry is replaced by its additive inverse in the corresponding reflected position.