Prove or Disprove: If AB=-BA, A or B is Singular

[fofo]

Given any two n X n matrices A and B , prove or disprove the following statements:
If AB=-BA then at least one of A and B is singular.

 

[HallsofIvy]

Did you not read the instructions when you registered? You must have first made a serious attempt to solve the problem yourself and show what you have tried.