# Matrix Generation

> Tactic for generating and populating combination matrices — cross dimensions to enumerate the design space.

- Skill: `yogsoth-ai/matrix-generation` (Agent Skill)
- Install (CLI): `npx skillmds@latest add yogsoth-ai/matrix-generation`
- Raw SKILL.md: https://api.skillmd.com/api/skills/yogsoth-ai/matrix-generation/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: yogsoth-ai (https://skillmd.com/u/yogsoth-ai)
- Updated: 2026-09-17
- Page: https://skillmd.com/skills/yogsoth-ai/matrix-generation

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# Matrix Generation

Generate combination matrices by crossing dimensions. Populate cells with existing work, mark empty cells as opportunities, flag impossible combinations.

## Available SOPs

- combination-enumeration — systematically enumerate all combinations
- novelty-scoring — score empty cells by novelty potential
- question-generation — generate research questions from promising gaps
- matrix-export — export matrix as readable document

## Guiding Principles

- **Start 2D.** Begin with pairs of dimensions before attempting higher-dimensional matrices.
- **Sparse is normal.** Most real design spaces are sparsely populated — that's the point.
- **Impossible ≠ unexplored.** Mark truly impossible combinations (physical constraints, logical contradictions) differently from merely unexplored ones.
- **Cluster patterns.** Look for patterns in which cells are populated — they reveal community preferences and blind spots.

## Minimum Yield

<HARD-GATE>
≥1 matrix generated with ≥50% of cells classified (occupied/empty/impossible) per invocation.
</HARD-GATE>

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## Available SOPs

Optional, no fixed order; the final leaf is always a sop.

| SOP | When to use |
| --- | --- |
| combination-enumeration | SOP for systematically enumerating combinations across dimensions. |
| knowledge-structuring-novelty-scoring | SOP for scoring empty cells by novelty potential — how surprising and valuable would this combination be? |
| matrix-export | SOP for exporting the dimensional matrix as a readable document or structured data. |
| question-generation | SOP for generating research questions from promising gaps in the design space. |

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