Question

If A is a square matrix, then $A - A^t$ is a

• A. diagonal matrix
• B. skew-symmetric matrix
• C. symmetric matrix
• D. none of there.

Answer 1

Answer: (B)

skew-symmetric matrix

Answer 2

As $\left(A - A'\right)' = A' -\left(A'\right)'$ $= A'-A = - \left(A-A'\right)$ therefore, $A - A'$ is a skew symmetric matrices.