Find the inverse of each of the following matrices.
|A| =
= 2(3 – 0) – 0 – 1(5)
= 6 – 5
= 1
Hence, A – 1 exists
Cofactors of A are:
C11 = 3 C21 = – 1 C31 = 1
C12 = – 15 C22 = 6 C32 = – 5
C13 = – 5 C23 = – 2 C33 = 2
adj A =
=
So, adj A =
Now, A – 1 = .adj A
So, A – 1 = .
Hence, A – 1 =