TITLE: equivalence between matrix multiplication and matrix inversion
QUESTION [8 upvotes]: I am a bit confused with this wikipedia article, hoping someone can clarify it. Looking at the Strassen algorithm page it is clear that this is an algorithm for reducing multiplication operations. 
Why is a matrix multiplication algorithm touted as a matrix inversion algorithm? last time i checked it was totally odd to apply Gauss-Jordan elimination to multiply matrices
thanks

REPLY [4 votes]: On the the wikipedia article for invertible matrices they show how you can design matrix inversion by blocks, which obtains the same complexity as multiplication. Pretty neat.