smithery/parcadei

eigenvalues

Problem-solving strategies for eigenvalues in linear algebra

Installation

$ npx skills add smithery/parcadei --skill eigenvalues

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Skill metadata

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Allowed toolsBash, Read
Declared agents claude-code

Package contents

Files included with this skill beyond the listing page.

  • skill md SKILL.md 1,216 B
  • docs SUMMARY.md 79 B

History

  1. First recorded snapshot · 0 installs

SKILL.md

Eigenvalues

When to Use

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

Decision Tree

  1. Compute Characteristic Polynomial

- det(A - lambda*I) = 0 - sympy_compute.py charpoly "[[a,b],[c,d]]" --var lam

  1. Find Eigenvalues

- Solve characteristic polynomial - sympy_compute.py eigenvalues "[[1,2],[3,4]]"

  1. Find Eigenvectors

- For each eigenvalue lambda: solve (A - lambda*I)v = 0 - sympy_compute.py eigenvectors "[[1,2],[3,4]]"

  1. Verify

- Check Av = lambda*v with z3_solve.py prove - Verify algebraic/geometric multiplicity

Tool Commands

Sympy_Eigenvalues

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

Sympy_Charpoly

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

Z3_Verify

uv run python -m runtime.harness scripts/z3_solve.py sat "det(A - lambda*I) == 0"

Cognitive Tools Reference

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