Skip to content
Development
Skill

/vector-spaces

Problem-solving strategies for vector spaces in linear algebra

BOOST
@parcadeiparcadei@parcadei
From plugin
continuous-claude-v3
3.9k156 skills32 agents

Claude Code

$ npx -y skills add parcadei/Continuous-Claude-v3 --skill vector-spaces --agent claude-code

SKILL.md

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

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

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.

Read it on GitHub ↗
Stats
PythonBashSQLPostgreSQLDockerAWSAzureGitGitHubAnthropicMCP
3,949
Stars
304
Forks
Quiet
Maintenance
Python
Language
MIT
License
Last commit
Created

Repo: parcadei/Continuous-Claude-v3

In this plugin
156 skills32 agents
See everything inside
@parcadei
Ships withcontinuous-claude-v3

A persistent, learning, multi-agent development environment built on Claude Code Continuous Claude transforms Claude Code into a continuously learning system that maintains context across sessions, orchestrates specialized agents, and eliminates wasting

3.9k156 skills32 agents
Get the whole plugin

Stars on GitHub

Momentum

stars in total
3.9k
Star history of parcadei/Continuous-Claude-v3 on GitHub, a chart by star-history.com
See what's trending this week

Other skills on continuous-claude-v3.

See all 156 skills in continuous-claude-v3

More skills from other plugins.

brainstorming
Auto-invoked

brainstorming

You MUST use this before any creative work - creating features, building components, adding functionality, modifying behavior, or…

superpowers2w311k
@obra@obraInstall Skill
ask-matt

ask-matt

Ask which skill or flow fits your situation. A router over the skills in this repo.

skills2w309k
@mattpocock@mattpocockInstall Skill
accessibility
Auto-invoked

accessibility

Design, implement, and audit accessible UI to WCAG 2.2 Level AA across Web, iOS, and Android — semantic ARIA roles and labels,…

ecc2w293k
@affaan-m@affaan-mInstall Skill
compiler-commit

compiler-commit

Use when you want to verify compiler changes and commit with the correct convention. Runs tests, lint, and format, then commits…

react5d252k
@facebook@facebookInstall Skill

Questions about vector-spaces.

Which coding agents can use vector-spaces?
vector-spaces installs in Claude Code, Codex, Cursor, Gemini CLI, GitHub Copilot, OpenCode and Windsurf with the skills CLI, using each agent's flag shown on this page. Flowy's auto-invocation, which fires a skill when your prompt matches, runs in Claude Code only.