matrices
Problem-solving strategies for matrices in linear algebra
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技能内容
Matrices
When to Use
Use this skill when working on matrices problems in linear algebra.
Decision Tree
- Identify Matrix Type
- Square, symmetric, orthogonal, diagonal?
- Check properties with
sympy_compute.py matrix_type
- Basic Operations
- Multiplication:
sympy_compute.py matmul "A" "B" - Inverse:
sympy_compute.py inverse "A" - Transpose:
sympy_compute.py transpose "A"
- Solve Linear Systems
- Ax = b:
sympy_compute.py linsolve "A" "b" - Check consistency with
z3_solve.py sat
- 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.
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原文件路径
.claude/skills/math/linear-algebra/matrices/SKILL.md