I was surprised that this works as well as it does.
@interact
def _(n=(4..10)):
@interact
def __(i=(0..n-1),j=(0..n-1)):
M = MatrixSpace(ZZ,n,n)(0)
k = n-i-1
l = n-j-1
M[i,j]=-1
M[k,l]=1
show(latex("(%s, %s) $\mapsto$ (%s,%s)"%(i+1,j+1,k+1,l+1)))
show(M)
Unfortunately, you can't change the uppermost slider (in Firefox, at least).
Well, you *can*, it just resets itself and is totally useless.
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