matrices

Matrices

When to Use

Use this skill when working on matrices problems in linear algebra.

Decision Tree

1. Identify Matrix Type
2. Square, symmetric, orthogonal, diagonal?
3. Check properties with sympy_compute.py matrix_type

1. Basic Operations
2. Multiplication: sympy_compute.py matmul "A" "B"
3. Inverse: sympy_compute.py inverse "A"
4. Transpose: sympy_compute.py transpose "A"

1. Solve Linear Systems
2. Ax = b: sympy_compute.py linsolve "A" "b"
3. Check consistency with z3_solve.py sat

1. Decompositions
2. LU: sympy_compute.py lu "A"
3. QR: sympy_compute.py qr "A"
4. SVD: sympy_compute.py svd "A"

Tool Commands

Sympy_Inverse

uv run python -m runtime.harness scripts/sympy_compute.py inverse "[[1,2],[3,4]]"

Sympy_Det

uv run python -m runtime.harness scripts/sympy_compute.py det "[[a,b],[c,d]]"

Sympy_Linsolve

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.