<PRE><B>Question 23052</B>
The inverse of any 2x2 matrix with entries

a b
c d

is:

(1/determinant)* d -b
                 -c a

First of all, put the entries in the correct positions:
0 -4
3 -2
For this problem the determinant is -2 * 0 - 3 * -4 = 12
the inverse is then:
0/12 -4/12
3/12 -2/12
which simplifies to
0 -1/3
1/4 -1/6</PRE>