When Lines Do the Job

In a Gaussian generative classifier with two classes, under what condition does the decision boundary become a straight line (as in Linear Discriminant Analysis) rather than a curved quadratic surface?

A

When the features are standardized to zero mean and unit variance

B

When both classes share the same covariance matrix, so only the means differ

C

When each class is fit with its own separate covariance matrix

D

When the class priors are equal for every class