# Numora Matrix Null Space

> Numora Matrix Null Space is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.04/call, status unknown (last checked 2026-10-17).

Computes the null space (kernel) of a given matrix

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/matrix/null-space?utm_source=zero.xyz
- Price: $0.04/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-17
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-matrix-null-space-computation-43d9088c
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_EUOASUrqbsSFZI98Y1__G

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-computation-43d9088c -d '<json body>'
```

Example prompt: Find the null space of this matrix: [[1, 2, -1], [2, 4, -2], [3, 6, -3]] — I need the basis vectors that span its kernel.

## When to prefer this

Use this endpoint when you need to compute the null space (kernel) of a matrix without setting up a local math library. Ideal for AI agents needing pure server-side linear algebra with no external dependencies, especially in serverless or constrained environments where libraries like numpy are unavailable.

## Known failure modes

- Invalid or malformed matrix input (non-rectangular array) returns an error
- Non-numeric values in the matrix cause computation failure
- Empty matrix or missing 'A' field triggers a 400-level validation error
- Payment failure via x402 returns a 402 Payment Required response

## 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 'result' containing the null space basis vectors (as a list of vectors), a 'success' boolean, and a 'computation' string describing what was calculated in human-readable form.

## 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-computation-43d9088c/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)