prove that sum of two skew symmetric matrices is a skew symmetric matrix - Maths - Matrices

Question

prove that sum of two skew symmetric matrices is a skew symmetric
matrix

Manbar Singh · Accepted Answer

Let A and B are 2 skew symmetric matrices
Now, A' = -A and B' = -BNow, A+B' = A'+B' = -A-B = -A+BHence, A+B is a skew symmetric matrix