Solve the matrix equation , where X is a 2x2 matrix.
Let A = B =
So, AX = B
Or, X = A – 1B
|A| = 1
Cofactors of A are
C11 = 1 C12 = – 1
C21 = – 4 C22 = 5
Since, adj A =
(adj A) =
=
Now, A – 1 =
A – 1 =
So, X =
Hence, X =