  We report the first measurements of a complete second-order cumulant matrix
of net-charge, net-proton, and net-kaon multiplicity distributions for the
first phase of the beam energy scan program at RHIC. This includes the
centrality and, for the first time, the pseudorapidity window dependence of
both diagonal and off-diagonal cumulants in Au+Au collisions at \sNN~= 7.7-200
GeV. Within the available acceptance of $|\eta|<0.5$, the cumulants grow
linearly with the pseudorapidity window. Relative to the corresponding
measurements in peripheral collisions, the ratio of off-diagonal over diagonal
cumulants in central collisions indicates an excess correlation between
net-charge and net-kaon, as well as between net-charge and net-proton. The
strength of such excess correlation increases with the collision energy. The
correlation between net-proton and net-kaon multiplicity distributions is
observed to be negative at \sNN~= 200 GeV and change to positive at the lowest
collision energy. Model calculations based on non-thermal (UrQMD) and thermal
(HRG) production of hadrons cannot explain the data. These measurements will
help map the QCD phase diagram, constrain hadron resonance gas model
calculations, and provide new insights on the energy dependence of
baryon-strangeness correlations. An erratum has been added to address the issue
of self-correlation in the previously considered efficiency correction for
off-diagonal cumulant measurement. Previously considered unidentified
(net-)charge correlation results ($\sigma^{11}_{Q,p}$ and $\sigma^{11}_{Q,k})$
are now replaced with identified (net-)charge correlation
($\sigma^{11}_{Q^{PID},p}$ and $\sigma^{11}_{Q^{PID},k}$)
