matrices

GitHub

提供线性代数中矩阵问题的解题策略,涵盖矩阵类型识别、基本运算、线性方程组求解及各类分解方法,辅助完成数学计算任务。

.claude/skills/math/linear-algebra/matrices/SKILL.md parcadei/Continuous-Claude-v3

Trigger Scenarios

需要执行矩阵乘法或求逆 求解线性方程组 Ax=b 进行 LU/QR/SVD 分解

Install

npx skills add parcadei/Continuous-Claude-v3 --skill matrices -g -y
More Options

Non-standard path

npx skills add https://github.com/parcadei/Continuous-Claude-v3/tree/main/.claude/skills/math/linear-algebra/matrices -g -y

Use without installing

npx skills use parcadei/Continuous-Claude-v3@matrices

指定 Agent (Claude Code)

npx skills add parcadei/Continuous-Claude-v3 --skill matrices -a claude-code -g -y

安装 repo 全部 skill

npx skills add parcadei/Continuous-Claude-v3 --all -g -y

预览 repo 内 skill

npx skills add parcadei/Continuous-Claude-v3 --list

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

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.

Version History

  • d07ff4b Current 2026-08-20 12:48

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Metadata

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Version
d07ff4b
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Indexed
2026-08-20 12:48

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