[R] symmetric matrix on both diagonals

[juliane0212]

I'm  having some problems computing a matrix being symmetric on both
diagonals.

Does anyone know a way to get from this matrix


 M <- matrix(c(1,0,0,0,2,7,0,0,3,4,0,0,6,0,0,0), ncol=4)
               
to this one
               
               M_final <- matrix(c(1,2,3,6,2,7,4,3,3,4,7,2,6,3,2,1) ,
ncol=4)

thanks

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