Eigenvalues

SkillProductivity

Gives your agent strategies for solving eigenvalue problems in linear algebra.

Available today. Use it from your connected AI after setup.

Connect ahel once, and every AI you use reads what you have installed.

Then ask your AI: use the Eigenvalues skill

About this capability

Problem-solving strategies for eigenvalues in linear algebra

What this skill tells your AI

The instructions your AI receives, as published by parcadei/continuous-claude-v3 in .claude/skills/math/linear-algebra/eigenvalues/SKILL.md and read by ahel’s review.

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.

Signals

GitHub stars
4k
Forks
300
Last commit
Jan 2026
Advanced
Catalog kind
skill
Gateway key
eigenvalues
Source
github.com/parcadei/continuous-claude-v3