# Numora Matrix Null Space

> Numora Matrix Null Space is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

Computes the null space (kernel) of a matrix — the set of all vectors x such that Ax = 0

## Facts

- Endpoint: POST https://numormo.vercel.app/api/matrix/null-space
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-matrix-null-space-12ac9d1d
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_fNryQZQSVmyT6kYH_NrLb

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-matrix-null-space-12ac9d1d -d '<json body>'
```

Example prompt: Find the null space of this matrix: [[1, 2, 3], [4, 5, 6], [7, 8, 9]] — I need the basis vectors for all solutions to Ax=0.

## When to prefer this

Use this endpoint when you need pure mathematical computation of a matrix null space with no external dependencies, billed per-call via x402 micropayments. Prefer this over symbolic math libraries when you want a lightweight, serverless, pay-per-use solution with a simple REST interface. Best suited for AI agents needing on-demand linear algebra within automated pipelines.

## Known failure modes

- Non-rectangular or malformed 2D array input returns an error
- Matrix with non-numeric entries will fail
- Missing required 'A' field returns validation error
- Extremely large matrices may time out or exceed memory limits
- Singular or near-singular matrices handled numerically — may have floating-point precision issues

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with a 'success' boolean, a 'result' object containing the null space basis vectors (spanning vectors of the kernel), and a human-readable 'computation' string describing what was calculated. If the null space is trivial (only the zero vector), the result will indicate that.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "A"
 ],
 "properties": {
  "A": {
   "type": "array",
   "description": "Matrix (2D array)"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-matrix-null-space-12ac9d1d/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)