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/eigenvalues

Problem-solving strategies for eigenvalues in linear algebra

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@parcadeiparcadei@parcadei
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continuous-claude-v3
3.9k156 skills32 agents

Claude Code

$ npx -y skills add parcadei/Continuous-Claude-v3 --skill eigenvalues --agent claude-code

SKILL.md

eigenvalues.SKILL.md
name: eigenvalues
description: "Problem-solving strategies for eigenvalues in linear algebra"
allowed-tools: [Bash, Read]

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`

2. **Find Eigenvalues**

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

3. **Find Eigenvectors**

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

4. **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.

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Questions about eigenvalues.

Which coding agents can use eigenvalues?
eigenvalues installs in Claude Code, Codex, Cursor, Gemini CLI, GitHub Copilot, OpenCode and Windsurf with the skills CLI, using each agent's flag shown on this page. Flowy's auto-invocation, which fires a skill when your prompt matches, runs in Claude Code only.