/* the following routines compute inverses and adjoints of matrices */
/* if ratmx is false [the default] then the elements will not be converted
to cre-form */

adjoint(mat):= block([adj,n], n:length(mat), adj:ident(n),
		     if n#1 then 
		       for i thru n do for j thru n do
		           adj[i,j]:(-1)^(i+j)*determinant(minor(mat,j,i)),
		     adj)$

invert(mat):= block([adj,ans], adj:adjoint(mat),
			ans:block([scalarmatrixp:true],
				adj/(row(mat,1).col(adj,1))),
		if scalarmatrixp=true and length(mat)=1
/* row(mat,1).col(adj,1) = determinant(mat) */
			 then ans[1,1] else ans)$