Do you mean you need to export the data into a table?
If you are in the Outputs tab (where all the basedata and outputs
are listed) then you can select the spatial output containing your
results and then use the Export button to the right.
If you are viewing the spatial output then there is also an export
menu to the left, below the pan and zoom tools.
If by matrix you mean a pairwise site by site (group by group)
matrix of turnover scores, then you need to run a cluster analysis
to generate it. You can optionally skip the cluster analysis if you
only want the matrix. Exporting is then done on the same manner as
for spatial outputs. Note also that not all indices can be used to
build a turnover matrix.
The Region Grower analysis can be used to generate pairwise alpha
diversity indices such as richness. It is a variation of the
cluster analyses so has many of the same interface options. I'm not
sure that's what you are looking for, though.