vector-spaces skill
Problem-solving strategies for vector spaces in linear algebra
A100/100content scan
Is the vector-spaces skill safe?
Clean: nothing in its files matched our rules. We read 1 file in the folder on 2026-09-28.
No findings.
Install the vector-spaces skill
A skill is a folder. Copy it into your agent's skills folder and the agent loads it when the task matches its description.
git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git /tmp/Continuous-Claude-v3 mkdir -p ~/.claude/skills cp -r /tmp/Continuous-Claude-v3/.claude/skills/math/linear-algebra/vector-spaces ~/.claude/skills/vector-spaces
available in every project
In the Claude apps, zip the folder and upload it from the Skills settings. The folder on GitHub
The instructions your agent would load
SKILL.md as published, without the frontmatter. Read it on GitHub
Vector Spaces
When to Use
Use this skill when working on vector-spaces problems in linear algebra.
Decision Tree
- Check Subspace
- Contains zero vector?
- Closed under addition?
- Closed under scalar multiplication?
- Verify with z3_solve.py prove
- Linear Independence
- Set up Ax = 0 where columns are vectors
- sympy_compute.py nullspace "A"
- Trivial nullspace = independent
- Basis and Dimension
- Find spanning set, remove dependent vectors
- sympy_compute.py rref "A" to find pivot columns
- Dimension = number of pivots
- Change of Basis
- Find transition matrix P
- New coords = P^(-1) * old coords
- sympy_compute.py inverse "P"
Tool Commands
Sympy_Nullspace
uv run python -m runtime.harness scripts/sympy_compute.py nullspace "[[1,2,3],[4,5,6]]"Sympy_Rref
uv run python -m runtime.harness scripts/sympy_compute.py rref "[[1,2,3],[4,5,6]]"Z3_Prove
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.
More skills from parcadei/Continuous-Claude-v3
- Aagent-context-isolationAgent Context Isolation
- Aagent-orchestrationAgent Orchestration Rules
- Aagentic-workflowAgentic Workflow Pattern
- Aagentica-claude-proxyGuide for integrating Agentica SDK with Claude Code CLI proxy
- Aagentica-infrastructureReference guide for Agentica multi-agent infrastructure APIs
- Aagentica-promptsWrite reliable prompts for Agentica/REPL agents that avoid LLM instruction ambiguity
- Aagentica-sdkBuild Python agents with Agentica SDK - @agentic decorator, spawn(), persistence, MCP integration
- Aagentica-serverAgentica server + Claude proxy setup - architecture, startup sequence, debugging
- Aagentica-spawnSpawn Agentica multi-agent patterns
- Aanalytic-functionsProblem-solving strategies for analytic functions in complex analysis
- Aast-grep-findAST-based code search and refactoring via ast-grep MCP
- Aasync-repl-protocolAsync REPL Protocol