How can i use Inverse for symbolic variables?

for example : I have this 2-by-2 matrix : [A] = [ a*(x^2) , b(y^3) ; d*(x^2)*y , c ].

and I want to get inverse of the [A].

Is it possible?

Answer 1

[Alex Mcaulley]

syms x y a b c d
A = [ a*(x^2) , b*(y^3) ; d*(x^2)*y , c ];
inv(A)

ans =
[ c/(- b*d*x^2*y^4 + a*c*x^2), -(b*y^3)/(- b*d*x^2*y^4 + a*c*x^2)]
[    -(d*y)/(- b*d*y^4 + a*c),                a/(- b*d*y^4 + a*c)]