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eigenvalues skill

by parcadei·parcadei/Continuous-Claude-v3·3.9k stars·MIT

Problem-solving strategies for eigenvalues in linear algebra

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Is the eigenvalues skill safe?

Clean: nothing in its files matched our rules. We read 1 file in the folder on 2026-09-28.

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Install the eigenvalues skill

A skill is a folder. Copy it into your agent's skills folder and the agent loads it when the task matches its description. 

git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git /tmp/Continuous-Claude-v3
mkdir -p ~/.claude/skills
cp -r /tmp/Continuous-Claude-v3/.claude/skills/math/linear-algebra/eigenvalues ~/.claude/skills/eigenvalues
available in every project

In the Claude apps, zip the folder and upload it from the Skills settings. The folder on GitHub

The instructions your agent would load

SKILL.md as published, without the frontmatter. Read it on GitHub

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 = lambdav with z3solve.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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