The matrix on the R.H.S of the given matrix is of order 2 x 2 and the one given on left side is 2 x 2 . Therefore A has to be a 2 x 2 matrix.

Let A =

=

=

3a+b = 4 ----- 1

2a-b = 1 ------ 2

3c+d= 2 ------ 3

2c-d=3 ------- 4

Using 1 and 2

a=1

b=1

Using 3 and 4

c=1

d = -1

So A becomes