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3 votes

Compute matrix inversion / multiplication using a black box

It was shown in 1969, by Strassen, that matrix multiplication and matrix inversion have the same computational complexity. Details can be found on Wikipedia.
Nathaniel's user avatar
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1 vote

Complexity of multiplying 3 matrices

No. If you can multiply two $n \times n$ matrices in time $O(f(n))$ then you can also multiply three matrices $A,B,C$ in the same asymptotic running time by first computing $M=AB$ and then $MC$. ...
Steven's user avatar
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