If A – 1 = and
, find (AB) – 1.
A – 1 = B =
|B| = 1(3 – 0) – 2( – 1 – 0) – 2(2 – 0)
= 3 + 2 – 4
|B| = 1
Now, B – 1 =
Cofactors of B are:
C11 = – 3 C21 = 2 C31 = 6
C12 = 1 C22 = 1 C32 = 2
C13 = 2 C23 = 2 C33 = 5
adj B =
=
So, adj B =
Now, B – 1 =
(AB) – 1 = B – 1 A – 1
=
Hence, =