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Eigenvalues

vibeeval/eigenvalues

Problem-solving strategies for eigenvalues in linear algebra

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the whole folder, loaded on every use
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instructions only
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copies elsewhere
how many repositories repackaged it
521
stars on the repo
on the repository, not the skill itself

Install

one command, takes just this skill from the repository 
npx skills add https://github.com/vibeeval/vibecosystem --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 vibeeval/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.