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The inverse problem can be solved using only linear algebra in the case of a spherical GW detector, even in the presence of noise. The simplicity of such solution enables one to explore the error on the solution using standard techniques. We derive the error on the direction and polarization measurements of a gravitational wave, and show that the solid angle error and the uncertainty on the wave amplitude are direction independent. We show that the polarization amplitudes can too be determined with isotropic sensitivity for any given gravitational wave source. © 2000 American Institute of Physics. [ABSTRACT FROM AUTHOR]