Question 963090
To find the inverse of a 2x2 matrix, first find the determinant.
{{{D=1(9)-2(3)=9-6=3}}}
For a 2x2 matrix,
{{{A=(matrix(2,2,a,b,c,d))}}}
the inverse is just,
{{{A^(-1)=(1/D)*(matrix(2,2,d,-b,-c,a))}}}
So in this case,
{{{A^(-1)=(1/3)*(matrix(2,2,9,-3,-2,1))}}}
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{{{A^(-1)=(matrix(2,2,3,-1,-2/3,1/3))}}}