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

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.