Vector Spaces
- 1 installs
- 3.9k repo stars
- Updated January 26, 2026
- parcadei/continuous-claude-v3
Solves linear-algebra vector-space problems (subspaces, independence, basis, change of basis) with sympy nullspace/rref/inverse commands.
About
Gives a decision tree and sympy solver commands for vector-space problems in linear algebra, including subspace checks, linear independence, basis and change of basis. A developer uses it when solving linear-algebra vector-space exercises with sympy tooling.
- Decision tree for subspace, independence, basis and change of basis
- Uses sympy_compute.py nullspace, rref and inverse commands
Vector Spaces by the numbers
- 1 all-time installs (skills.sh)
- Ranked #14,102 of 16,546 AI & Agent Building skills by installs in the Skillselion catalog
- Data as of Aug 5, 2026 (Skillselion catalog sync)
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| Installs | 1 |
|---|---|
| repo stars | ★ 3.9k |
| Last updated | January 26, 2026 |
| Repository | parcadei/continuous-claude-v3 ↗ |
What it does
Solves linear-algebra vector-space problems (subspaces, independence, basis, change of basis) with sympy nullspace/rref/inverse commands.
Files
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.
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