vibeeval/vector-spaces
skills/math/linear-algebra/vector-spaces/SKILL.md
Problem-solving strategies for vector spaces in linear algebra
$ install --global
skillsauthnpx skillsauth add vibeeval/vibecosystem vector-spacesInstall this skill globally with one command. Works with Claude Code, Cursor, and Windsurf.
Security Scan Results
3 of 9 scanners reported clean
Some scanners were skipped, did not run, or reported a non-clean status. Review each row below.
3
Scanners Passed
9
Scanners in report
Clean
TrivyContainer and dependency vulnerability scanner
95%
Clean
SemgrepStatic code analysis for vulnerabilities
95%
Clean
mcp-scan (Snyk)Model Context Protocol security validation
95%
Skipped
Snyk (dep)Open source security scanning
50%
Skipped
Socket.devSupply chain security analysis
50%
Skipped
VirusTotalMulti-engine malware detection
50%
Skipped
CrowdStrikeAdvanced threat intelligence
50%
Skipped
OSV-ScannerOpen Source Vulnerability database check
50%
Skipped
OWASP Dep-Check
50%
Last scanned: Jun 10, 2026, 4:54 AM7.9s1 file scanned
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
-
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.
Related Skills
vibeeval/workflow-router
development
VerifiedTrustedCommunity
Goal-based workflow orchestration - routes tasks to specialist agents based on user goals
500SKILL.mdUpdated Jun 11, 2026
vibeeval/wiring
tools
VerifiedTrustedCommunity
Wiring Verification
500SKILL.mdUpdated Jun 11, 2026
vibeeval/websocket-patterns
development
VerifiedTrustedCommunity
Connection management, room patterns, reconnection strategies, message buffering, and binary protocol design.
500SKILL.mdUpdated Jun 11, 2026
vibeeval/vp-engineering
testing
VerifiedTrustedCommunity
VP Engineering perspective - org design (team topologies), process improvement, cross-team dependencies, engineering culture, OKRs, incident management maturity, platform strategy, DX optimization, release management at scale
500SKILL.mdUpdated Jun 11, 2026