Let and
. Show that
[F (α)] – 1 = F( – α)
F(α) =
| F(α)| = = 1
Cofactors of A are:
C11 = cos α C21 = sin α C31 = 0
C12 = – sin α C22 = cos α C32 = 0
C13 = 0 C23 = – 10 C33 = 1
adj F(α) =
=
So, adj F(α) = …… (i)
Now, [F(α)] – 1 =
And, F( – α) = …… (ii)
=
Hence, [F (α)] – 1 = F( – α)