I am trying to understand what the lda function in the MASS package calculates 
when there are more dimensions than examples. It is my understanding that the 
Fisher Linear Discriminant is not applicable in this case, because the inverse 
of the covariance matrix cannot be calculated. 

My question is how the output is calculated when the lda function is sent a 
dataset with more dimensions than examples. I had expected it to fail. Is a 
pseudoinverse (or some other technique) used internally to allow computation of 
the lda in this case?

Thank you in advance for your assistance.

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