Given an n x n matrix A with real entries such that A^2 = -I, prove the following about A:
1) n is even
2) A has no real eigenvalues
3) det A = 1
Follow Math Help Forum on Facebook and Google+
Hints : 1) 2) If is an eigenvalue of , then for some .
Prove that (contradiction). 3) No hint, try it. Fernando Revilla
View Tag Cloud