Numerical matrix inverse vs. analytical matrix inverse using numerical inputs

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From what I've read, it seems that explicit numerical matrix inversion is considered a bad idea. However, what if we have an invertible matrix $A$, and find the analytical expression for $A$'s inverse, and then put our numerical values into the analytical expression we just found? Would we be able to attain more stable/accurate results than simply using inv($A$) or would the two simply be exactly equivalent?