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creating a symmetric matrix

Dear R People:

Suppose I have the following:

x <- 1:4

And I want to create the following matrix:

1 2 3 4
2 1 2 3
3 2 1 2
4 3 2 1

Is there a function in place for this, please?  I looked at  symMatrix
in micEcon and some of the items in Matrix, but they didn't quite do
it.

I can put together something quickly, of course, but it seems likely
that this would exist.

Thanks,
Erin