The given matrix equation is :-

Let A = and B =

So, we can write the equation as

AP = B

Pre-multiplying A^-1 both sides we get,

A^-1AP = A^-1B

IP = A^-1B ( A^-1A = I )

P = A^-1B ( IP = P ) …….(i)

Now,

|A| = = 1

and

adj A =

A^-1 = adj A

A^-1 =

From (i) ,

=

=

Comparing both sides we get,