Question 1001640
<pre>
{{{(matrix(2,2,3,-1,8,6))}}}

1. Find the determinant of the matrix: (3)(6)-(-1)(8) = 18+8 = 26

2. Swap the upper left and lower right elements:
 {{{(matrix(2,2,6,"","",3))}}}

3. Change the signs of the other two elements (upper right
   and lower left:

{{{(matrix(2,2,6,1,-8,3))}}}

4. Divide every element by the number obtained in step 1.

{{{(matrix(2,2,6/26,1/26,-8/26,3/26))}}}

Reduce the reducible fractions:

{{{(matrix(2,2,3/13,1/26,-4/13,3/26))}}}

The above method only works for finding the inverse of
2x2 matrices.

Edwin</pre>