matriceslisted

# Matrices ## When to Use Use this skill when working on matrices problems in linear algebra. ## Decision Tree 1. **Identify Matrix Type** - Square, symmetric, orthogonal, diagonal? - Check properties with `sympy_compute.py matrix_type` 2. **Basic Operations** - Multiplication: `sympy_compute.py matmul "A" "B"` - Inverse: `sympy_compute.py inverse "A"` - Transpose: `sympy_compute.py transpose "A"` 3. **Solve Linear Systems** - Ax = b: `sympy_compute.py linsolve "A" "b"` - Check consistency with `z3_solve.py sat` 4. **Decompositions** - LU: `sympy_compute.py lu "A"` - QR: `sympy_compute.py qr "A"` - SVD: `sympy_compute.py svd "A"` ## Tool Commands ### Sympy_Inverse ```bash uv run python -m runtime.harness scripts/sympy_compute.py inverse "[[1,2],[3,4]]" ``` ### Sympy_Det ```bash uv run python -m runtime.harness scripts/sympy_compute.py det "[[a,b],[c,d]]" ``` ### Sympy_Linsolve ```bash uv run python -m runtime.harness scripts/sympy_compute.py linsolve "[[1,2],[3,4]]" "[5,6]" ``` ## Cognitive Tools Reference See `.claude/skills/math-mode/SKILL.md` for full tool documentation.