How inv() works ?

I am trying several methods to achieve best results for both accuracy and calculation time wise for different size and loop of matrices. However I couldn't find a document for how inv() function implemented in matlab itself works.

Answer 1

[Stephen23]

The INV documentation states "inv performs an LU decomposition of the input matrix (or an LDL decomposition if the input matrix is Hermitian). It then uses the results to form a linear system whose solution is the matrix inverse inv(X)"

Source: https://www.mathworks.com/help/matlab/ref/inv.html#bu6sftz-4

See also: https://www.mathworks.com/help/matlab/ref/inv.html#bu8tv8c-6