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Math & statistics

Matrix inverse and determinant

Matrix inverse and determinant: Use Gauss–Jordan elimination with partial pivoting on [A | I].

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How it works

Use Gauss–Jordan elimination with partial pivoting on [A | I]. Track pivot products and row-swap signs to obtain the determinant.

Input definitions

Square matrix CSV, no header
Plain text; maximum 200,000 characters.

A worked example

Square matrix CSV, no header
4,7 2,6
2 × 2 inverse matrix

Assumptions & limits

Entered-data numeric worksheet. Floating-point calculations are rounded for display. Statistical results describe the entered sample and depend on the stated model assumptions.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-17. Content checked against the stated method and examples. Our verification approach.

Common questions

Why might an invertible matrix be rejected?

An extremely small pivot relative to the matrix scale indicates numerical instability. This bounded numeric solver rejects such inputs rather than implying an accurate inverse.

How does Matrix inverse and determinant work?

Use Gauss–Jordan elimination with partial pivoting on [A | I]. Track pivot products and row-swap signs to obtain the determinant.

What are the limits of Matrix inverse and determinant?

Entered-data numeric worksheet. Floating-point calculations are rounded for display. Statistical results describe the entered sample and depend on the stated model assumptions.

How do I keep the full worksheet?

Run the tool and choose Download file. The on-page table is a preview and may show only the first 20 rows; the downloaded file contains the full result. CSV downloads escape spreadsheet formula prefixes. Inputs and files are processed on your device.

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