An algebra aid that computes an inverse candidate S⁻¹ for a user-entered observed spillover matrix S in conventional flow cytometry. Values must come from reviewed empirical single-stain controls acquired with the same configuration. It does not perform spectral unmixing or determine instrument, panel, or biological validity.

(1) Recheck the orientation of a conventional spillover matrix exported by reviewed software (2) Check whether the entered square matrix is algebraically invertible (3) Attach the inverse candidate to an ELN review record (4) Keep spectral unmixing separate from conventional compensation

① Confirm this is a conventional acquisition. ② Preserve the channel order exported from reviewed single-stain controls acquired with the same configuration. ③ The 1.0 diagonal is fixed; enter every off-diagonal value explicitly. ④ An S⁻¹ candidate appears only when every cell is filled and the matrix is invertible. ⑤ Review the result with the original software receipt and control provenance.

Example) Export channel order and the spillover matrix from reviewed acquisition software. Enter every off-diagonal value in the same order, compute the S⁻¹ candidate, and record it with the original matrix artifact ID, single-stain control IDs, and software/version. This calculation alone does not establish corrected events or a passing panel.