Best use case
vector-spaces is best used when you need a repeatable AI agent workflow instead of a one-off prompt.
Problem-solving strategies for vector spaces in linear algebra
Teams using vector-spaces 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
Manual Installation
- Download SKILL.md from GitHub
- Place it in
.claude/skills/vector-spaces/SKILL.mdinside your project - Restart your AI agent — it will auto-discover the skill
How vector-spaces Compares
| Feature / Agent | vector-spaces | Standard Approach |
|---|---|---|
| Platform Support | Not specified | Limited / Varies |
| Context Awareness | High | Baseline |
| Installation Complexity | Unknown | N/A |
Frequently Asked Questions
What does this skill do?
Problem-solving strategies for vector spaces 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
# Vector Spaces ## When to Use Use this skill when working on vector-spaces problems in linear algebra. ## Decision Tree 1. **Check Subspace** - Contains zero vector? - Closed under addition? - Closed under scalar multiplication? - Verify with `z3_solve.py prove` 2. **Linear Independence** - Set up Ax = 0 where columns are vectors - `sympy_compute.py nullspace "A"` - Trivial nullspace = independent 3. **Basis and Dimension** - Find spanning set, remove dependent vectors - `sympy_compute.py rref "A"` to find pivot columns - Dimension = number of pivots 4. **Change of Basis** - Find transition matrix P - New coords = P^(-1) * old coords - `sympy_compute.py inverse "P"` ## Tool Commands ### Sympy_Nullspace ```bash uv run python -m runtime.harness scripts/sympy_compute.py nullspace "[[1,2,3],[4,5,6]]" ``` ### Sympy_Rref ```bash uv run python -m runtime.harness scripts/sympy_compute.py rref "[[1,2,3],[4,5,6]]" ``` ### Z3_Prove ```bash uv run python -m runtime.harness scripts/z3_solve.py prove "subspace_closed" ``` ## Cognitive Tools Reference See `.claude/skills/math-mode/SKILL.md` for full tool documentation.
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