Hey lisa92.

Hint: Remember that your matrix is 2x2 [a b; c d] and F(1,1) = (3,-2) means <a*1 + b*1, c*1 + d*1> = <3,-2> so a + b = 3 and c + d = -2.

Now you have another relationship which will give you two more equations which means four equations in four unknowns which is enough to solve for these four unknowns if the matrix is non-singular (i.e. has non-zero determinant).