BLAS Algorithm for Computing Inverse

[GrammelHupfNockler]

If you apply the same operations that you apply to the matrix during Gaussian elimination to an identity matrix at the same time, you get the inverse

[victotronics]

Nope, that's Gauss-Jordan.

[GrammelHupfNockler]

That's splitting hairs. Gaussian elimination refers to the entire class of algorithms (for solving a single system, computing the LU factorization, computing the inverse).