# Numora Matrix Null Space

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

Computes the null space (kernel) of a given matrix using pure mathematical computation.

## Facts

- Endpoint: POST https://numormor.netlify.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-775c1d8c
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_QAuo_jCuXrbCX3Cr8sVmf

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-775c1d8c -d '<json body>'
```

Example prompt: Find the null space of this matrix: [[1, 2, -1], [2, 4, -2], [3, 6, -3]].

## When to prefer this

Use this endpoint when you need a pure serverless math computation of a matrix null space with no external dependencies, especially when working in an x402 micropayment context on Base. Prefer this over general-purpose CAS tools when you want a lightweight, single-purpose API call that returns clean structured JSON without overhead.

## Known failure modes

- Matrix A is not provided or is malformed (non-2D array) — returns error
- Non-numeric entries in the matrix — returns computation error
- Payment not included or insufficient USDC via x402 — returns 402 Payment Required
- Matrix dimensions are inconsistent (rows of different lengths) — returns validation error
- Network timeout on Netlify serverless function — returns 5xx error

## 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 success=true, a result object containing the null space basis vectors (the set of all vectors x such that Ax=0), and a human-readable computation string describing what was computed.

## 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-775c1d8c/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormor.netlify.app](https://www.zero.xyz/host/numormor.netlify.app/llms.txt)