eigenvalues
by parcadei
Context management for Claude Code. Hooks maintain state via ledgers and handoffs. MCP execution without context pollution. Agent orchestration with isolated context windows.
Run in ManusUse Cases
MCP Server Integration
AI tool integration using Model Context Protocol. Using eigenvalues.
API Integration
Easily build API integrations with external services.
Data Synchronization
Automatically sync data between multiple systems.
Webhook Setup
Enable event-driven integrations with webhooks.
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.
Score
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