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![Graph of norm of solutions to the singular system A*b=c. The norm is plotted for vectors b + alpha*x_Null where b is the Moore-Penrose solution and x_Null is a basis for the nullspace of A.](https://blogs.sas.com/content/iml/files/2018/11/ginv1.png)
A data analyst asked how to compute parameter estimates in a linear regression model when the underlying data matrix is rank deficient. This situation can occur if one of the variables in the regression is a linear combination of other variables. It also occurs when you use the GLM parameterization