Hi

Let , you need to show that acknowledged that and are both linear maps.

You got the hint... (and I even think that the solution has been posted in this forum few days ago)A matrix which satisfies A^T = -A is called skew-symmetric. Show that if A is an n*n skew-symmetric matrix where n is an odd integer, then A has no inverse. (Hint: use the definition A^T = -A to find det A, ) but be careful!