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Eigenvalues

parcadei/eigenvalues

Problem-solving strategies for eigenvalues in linear algebra

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on the repository, not the skill itself

Install

one command, takes just this skill from the repository 
npx skills add https://github.com/parcadei/Continuous-Claude-v3 --skill eigenvalues

The instruction itself

8 sections, as written by the author

Eigenvalues

When to Use

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

Decision Tree

  • Compute Characteristic Polynomial
  • det(A - lambda*I) = 0
  • sympy_compute.py charpoly "[[a,b],[c,d]]" --var lam
  • Find Eigenvalues
  • Solve characteristic polynomial
  • sympy_compute.py eigenvalues "[[1,2],[3,4]]"
  • Find Eigenvectors
  • For each eigenvalue lambda: solve (A - lambda*I)v = 0
  • sympy_compute.py eigenvectors "[[1,2],[3,4]]"
  • 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.

How to use it

Copy the folder

Take parcadei/eigenvalues from the repository into ~/.claude/skills for personal use, or into .claude/skills inside a project.

Check the name does not clash

The agent identifies a skill by the name field in its header. Two skills with the same name cannot sit side by side — one of them will be ignored.