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Matrices — measured AI agent skill | DecimalAI

vibeeval/matrices

SkillScore50Maintained

Problem-solving strategies for matrices in linear algebra

by vibeeval

Links this skill to your agents and keeps it current with the author’s updates.

Automatic

Tutoring & Education pack

decimalai skills pull vibeeval-matrices

Get this skill — curl · raw file

curl -fsSL https://app.decimal.ai/s/vibeeval-matrices/SKILL.md

Raw file: /s/vibeeval-matrices/SKILL.md ↗ · machine-readable summary at /s/vibeeval-matrices.json ↗

In productionGlobal

how this skill behaves on real traffic · last 30 days

No production data for this skill yet — usage numbers appear here once agents start running it.

Anonymized aggregate across every org using this skill — proof from real production use, not a demo.

Does this skill help? · Benchmark: with vs. withoutsign in to run this on your agents

22 test cases from the publisher’s eval.yaml · each run twice on gemini-3.6-flash — with the skill injected, then without · last run 6d ago

—-5% tokens0% turns50% of whole cases pass with skill (11/22)

Test case	Without → With	Effect	Δ tokens	Δ turns
case-08	✗→✓	▲ Improved	-42%	0%
case-09	✗→✓	▲ Improved	-43%	0%
case-11	✗→✓	▲ Improved	-24%	0%
case-12	✗→✓	▲ Improved	-45%	0%
case-13	✗→✓	▲ Improved	-26%	0%

Showing 5 of 22 cases

SkillSafety

✓ 3 of 3 passed

Code scan15 of 15 checks clean

0 critical · 0 warning · 0 info — scanner v4 — 8/1/2026

live_secretremote_code_executionreverse_shelldata_exfiltrationssrf_metadataagent_snoopinganti_refusaldestructive_commandsobfuscated_unicodeunicode_homoglyphopaque_blobsuspicious_urltool_overreachtrigger_abuseprompt_injection_phrasing

IntentSafe

LLM judge · does the skill do what it claims

ContentClean

LLM judge · policy & harmful-content review

Source

Imported

vibeeval / vibecosystem

skills/math/linear-algebra/matrices/SKILL.md

View on GitHub ↗

License MITImported 8/1/2026Version v1

Skill contents

SKILL.md

Matrices

When to Use

Use this skill when working on matrices problems in linear algebra.

Decision Tree

Identify Matrix Type

Square, symmetric, orthogonal, diagonal?
Check properties with sympy_compute.py matrix_type

Basic Operations

Multiplication: sympy_compute.py matmul "A" "B"
Inverse: sympy_compute.py inverse "A"
Transpose: sympy_compute.py transpose "A"

Solve Linear Systems

Ax = b: sympy_compute.py linsolve "A" "b"
Check consistency with z3_solve.py sat

Decompositions

LU: sympy_compute.py lu "A"
QR: sympy_compute.py qr "A"
SVD: sympy_compute.py svd "A"

Tool Commands

Sympy_Inverse

bash
uv run python -m runtime.harness scripts/sympy_compute.py inverse "[[1,2],[3,4]]"

Sympy_Det

bash
uv run python -m runtime.harness scripts/sympy_compute.py det "[[a,b],[c,d]]"

Sympy_Linsolve

bash
uv run python -m runtime.harness scripts/sympy_compute.py linsolve "[[1,2],[3,4]]" "[5,6]"

Cognitive Tools Reference

See .claude/skills/math-mode/SKILL.md for full tool documentation.

Want to see if vibeeval/matrices would activate on your phrasing? Try it before you install — no LLM call, no signup.

Other measured skills in the registry, with their headline benchmark lift.