matrices

Problem-solving strategies for matrices in linear algebra

422 stars

Best use case

matrices is best used when you need a repeatable AI agent workflow instead of a one-off prompt.

Problem-solving strategies for matrices in linear algebra

Teams using matrices should expect a more consistent output, faster repeated execution, less prompt rewriting.

When to use this skill

  • You want a reusable workflow that can be run more than once with consistent structure.

When not to use this skill

  • You only need a quick one-off answer and do not need a reusable workflow.
  • You cannot install or maintain the underlying files, dependencies, or repository context.

Installation

Claude Code / Cursor / Codex

$curl -o ~/.claude/skills/matrices/SKILL.md --create-dirs "https://raw.githubusercontent.com/vibeeval/vibecosystem/main/skills/math/linear-algebra/matrices/SKILL.md"

Manual Installation

  1. Download SKILL.md from GitHub
  2. Place it in .claude/skills/matrices/SKILL.md inside your project
  3. Restart your AI agent — it will auto-discover the skill

How matrices Compares

Feature / AgentmatricesStandard Approach
Platform SupportNot specifiedLimited / Varies
Context Awareness High Baseline
Installation ComplexityUnknownN/A

Frequently Asked Questions

What does this skill do?

Problem-solving strategies for matrices in linear algebra

Where can I find the source code?

You can find the source code on GitHub using the link provided at the top of the page.

SKILL.md Source

# 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.

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