parcadei / eigenvalues
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mkdir -p .claude/skills/eigenvalues && curl -L -o skill.zip "https://fastmcp.me/Skills/Download/1943" && unzip -o skill.zip -d .claude/skills/eigenvalues && rm skill.zipProject Skills
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Problem-solving strategies for eigenvalues in linear algebra
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Skill Content
--- 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 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 ```bash uv run python -m runtime.harness scripts/sympy_compute.py eigenvalues "[[1,2],[3,4]]" ``` ### Sympy_Charpoly ```bash uv run python -m runtime.harness scripts/sympy_compute.py charpoly "[[a,b],[c,d]]" --var lam ``` ### Z3_Verify ```bash 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.