What's the number of operations for the Gauss Jordan elimination method and the Cholesky method?

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I scoured through the internet looking for an answer on how many operations it would take to solve a system of linear equations using these two methods to no avail.

Is there a documentation of some kind where I can look up the number of operations it would take for these two methods i.e. number of additions/multiplications/divisions with proof?

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Partial answer (without Cholesky):

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