How does BLAS sgemm/dgemm work?

Blas typically uses column-major matrices (like Fortran), hence A = 1 2; 3 4 means 1 3| A = | | |2 4 and the result is correct (assuming that your Python library does the same). See this read-me.

Blas typically uses column-major matrices (like Fortran), hence A = 1 2; 3 4 means |1 3| A = | | |2 4| and the result is correct (assuming that your Python library does the same). See this read-me.

The result you have indicates sgemm had computed A*A' rather than A'*A as you wanted. The simple solution is to switch the two inputs to the function.

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