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Solve problems on vector spaces v1.0.0

Use this resource to prove properties of vector spaces and subspaces

New

  • 539 downloads
  • 195 likes
  • 162 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install vector-space-proofs-linear-algebra

With no option, the skill goes to ~/.agents/skills/; add --agent claude-code (or codex, cursor…) to target an agent.

First time: connect the CLI with

npx --yes palatekit@latest login

The agent checks that a subset is a subspace, tests linear independence, computes a basis and dimension, then a change of basis, with SymPy and Z3. You get a verifiable answer.

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Updated November 2, 2026

Card for the “Solve problems on vector spaces” skill

Details

Works in
Install guides
Generates with
Your agent's model
Licence
MIT

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What you get

  • SKILL.md: decision tree (subspace, independence, basis, change of basis)
  • SKILL.md: SymPy commands (nullspace, rref) and Z3 (prove)

Good fit for

  • You need to show that a family is linearly independent
  • You look for a basis of a subspace

Not for

    Tags

    • vector spaces
    • linear algebra
    • basis
    • dimension

    About

    You say

    “What is a basis of the span of these three vectors?”

    Card for the “Solve problems on vector spaces” skill

    Skill published by parcadei under the MIT license, delivered in its original version.

    Show more

    How to use it

    1. Install the skill in your agent's skills folder
    2. Ask your agent to prove properties of vector spaces and subspaces
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md1.3 KB

    Origin and licence

    Listed unmodified

    Author
    parcadei
    Source
    github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/linear-algebra/vector-spaces
    Licence
    MIT

    Notice

    « vector-spaces » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.

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