Thanks for help! @junrushao.
It seems that linalg_det and linalg_inverse both need PLU decomposition, which is supported by:
./lapack-3.9.0/LAPACKE/src/lapacke_dgetrf.c-
./lapack-3.9.0/LAPACKE/include/lapacke.h(seems not found in tvm external contribs).
Maybe new external runtime lib embedding and New op inventory can solve. Tons of work to do now, I have a direction though.