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LDA is just a generalization of FDA. See wiki link and stack exchange link.
So yes, the final result should be the same. Based on what you specifically would like to do, you could code the algorithm yourself (it is pretty easy), use the face module FisherFace OpenCV implementation (please remember you will need the contrib modules to access the face module), or, if you are using Python, you can use Sci-kit Learn's LDA classifier
