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Eigenvalues

  • 1 installs
  • 3.9k repo stars
  • Updated January 26, 2026
  • parcadei/continuous-claude-v3

Guides Claude through linear-algebra eigenvalue problems by computing characteristic polynomials and eigenvalues via sympy.

About

A decision-tree skill for finding eigenvalues via the characteristic polynomial det(A - lambda I). A developer uses it when they want Claude to compute eigenvalues symbolically with sympy.

  • Characteristic polynomial computation with sympy
  • Eigenvalue solving from det(A - lambda I) = 0

Eigenvalues by the numbers

  • 1 all-time installs (skills.sh)
  • Ranked #1,803 of 2,064 Data Science & ML skills by installs in the Skillselion catalog
  • Data as of Aug 5, 2026 (Skillselion catalog sync)
npx skills add https://github.com/parcadei/continuous-claude-v3 --skill eigenvalues

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Listed on Skillselion
Installs1
repo stars3.9k
Last updatedJanuary 26, 2026
Repositoryparcadei/continuous-claude-v3

What it does

Guides Claude through linear-algebra eigenvalue problems by computing characteristic polynomials and eigenvalues via sympy.

Files

SKILL.mdMarkdownGitHub ↗

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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