# Numora Matrix Null-Space Computation

> Numora Matrix Null-Space Computation is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).

Computes the null space (kernel) of a given matrix using pure mathematical computation with no external dependencies.

## Facts

- Endpoint: POST https://numomo.vercel.app/api/matrix/null-space
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-matrix-null-space-computation-7a2b734c
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_FAraUNJeyFel6VD8Qu30O

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-7a2b734c -d '<json body>'
```

Example prompt: Find the null space of the matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]] and give me the basis vectors.

## When to prefer this

Choose this endpoint when you need the exact mathematical null space (kernel) of a matrix in a pure, dependency-free computation context, especially when paying per-call via x402 micropayments is acceptable and you want a lightweight hosted math service rather than running a local linear algebra library. Prefer it over general-purpose code execution environments when you want a simple POST-and-get-result interface for null space specifically.

## Known failure modes

- Non-2D array provided for matrix A — returns error or unexpected result
- Empty matrix or matrix with inconsistent row lengths causes parse failure
- Full-rank square matrix returns an empty null space (trivial kernel), which is valid but may surprise users expecting non-trivial results
- Very large matrices may time out or exceed computation limits
- Non-numeric values in matrix cells cause computation failure

## 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' (boolean), 'result' (an object containing the null space basis vectors — the set of all vectors x satisfying Ax=0), and 'computation' (a human-readable string describing what was computed, e.g. the dimensionality of the kernel and the basis found).

## 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-7a2b734c/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)