vibeeval/eigenvalues
skills/math/linear-algebra/eigenvalues/SKILL.md
Problem-solving strategies for eigenvalues in linear algebra
$ install --global
skillsauthnpx skillsauth add vibeeval/vibecosystem eigenvaluesInstall this skill globally with one command. Works with Claude Code, Cursor, and Windsurf.
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SKILL.md
- name:
- eigenvalues
- description:
- Problem-solving strategies for eigenvalues in linear algebra
- allowed-tools:
- [Bash, Read]
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
- Check Av = lambda*v with
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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