[pralav-25]

Inverting an otherwise valid 3×3 floating-point matrix raises TypeError because Fraction(1, determinant) requires rational arguments. Dividing Fraction(1) by the determinant supports floats while retaining exact rational results for integer determinants.

Adds two-sided identity checks for 2×2, 3×3 and 4×4 matrices, verifies input preservation, and covers exact Fraction results and the existing singular-matrix sentinel.

Validation on Python 3.12.14:

• The new test file reproduced 4 failing cases on unmodified main.
• python -m pytest -q: 607 passed.
• python -m pytest --doctest-modules algorithms/ -q: 480 passed, 1 skipped.
• ruff check algorithms/ tests/ and git diff --check: passed.

Prepared with AI assistance; the failures and fixes above were reproduced locally.

Summary by CodeRabbit

• Bug Fixes
  • Improved inversion of matrices larger than 2×2 when working with numeric values, including floats.
• Tests
  • Added checks for inversion accuracy, exact results with integer matrices, input preservation, and singular-matrix handling.

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ℹ️ Recent review info

⚙️ Run configuration

Configuration used: defaults

Review profile: CHILL

Plan: Advanced

Run ID: 609ba847-701b-4baf-bc33-a7d5af5e7e99

📥 Commits

Reviewing files that changed from the base of the PR and between bd1d152 and 98b4eab.

📒 Files selected for processing (2)

• algorithms/matrix/matrix_inversion.py
• tests/test_matrix_inverse_numeric_types.py

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📝 Walkthrough

Walkthrough

For matrices with more than two rows, invert_matrix now calculates the reciprocal determinant using division. New tests cover float matrix inverses, exact Fraction results for integer matrices, input preservation, and the singular-matrix sentinel.

Changes

Matrix inversion numeric types

Layer / File(s)	Summary
Determinant multiplier and numeric-type coverage algorithms/matrix/matrix_inversion.py, tests/test_matrix_inverse_numeric_types.py	The larger-matrix path divides Fraction(1) by the determinant. Tests check float inverse identity in both multiplication orders, input preservation, exact Fraction results for integer matrices, and the singular float-matrix sentinel.

Priority: ⬇️ Low

Estimated code review effort: 2 (Simple) | ~10 minutes

Change: Bug fix

Suggested reviewers: keon

Merge Risk: ⚪ Minimal · up to 98b4e

The update adds floating-point inversion coverage while retaining exact integer results. No concrete merge-blocking regression is indicated.

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.
Title check	✅ Passed	The title clearly and concisely describes the main change: supporting floating-point determinants in matrix inversion.
Docstring Coverage	✅ Passed	Docstring coverage is 100.00% which is sufficient. The required threshold is 80.00%. Docstring coverage is scoped to functions touched by this diff. Analyzed 4 functions across 2 files.
Linked Issues check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check	✅ Passed	Check skipped because no linked issues were found for this pull request.

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