The quadrupole strengths, beam position monitor (BPM) gains, and orbit correction magnet strengths were adjusted in a computer model of the NSLS X‐Ray ring in order to best fit the model orbit response matrix to the measured matrix. The model matrix was fit to the 4320 data points in the measured matrix with an rms difference of only 2 to 3 microns, which is due primarily to noise in the BPM measurements. The strengths of the 56 individual quadrupoles in the X‐Ray ring were determined to an accuracy of about 0.2%. The BPM and orbit corrector calibrations were also accurately determined. A thorough analysis of both random and systematic errors is included. © 1994 American Institute of Physics