AgentSkillsCN

matrices

线性代数矩阵问题的解题策略

SKILL.md
--- frontmatter
name: matrices
description: "Problem-solving strategies for matrices in linear algebra"
allowed-tools: [Bash, Read]

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.