# Numora Matrix Eigenvectors API

> Numora Matrix Eigenvectors API is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.04/call, status unknown (last checked 2026-09-14).

Computes the eigenvalues and eigenvectors of a given square matrix using pure server-side math — no external dependencies.

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/matrix/eigenvectors
- Price: $0.04/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-eigenvectors-api-978978d4
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_tQC_ofLC3kklao9_rkGiL

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-eigenvectors-api-978978d4 -d '<json body>'
```

Example prompt: Can you find the eigenvalues and eigenvectors of this matrix: [[4, 1], [2, 3]]?

## When to prefer this

Use this endpoint when you need pure server-side eigendecomposition with no runtime dependencies — ideal for AI agents that cannot execute Python/numpy locally, need deterministic math computation, or are operating in sandboxed environments. Prefer this over code-execution tools when you want a lightweight, single-call numerical answer via an HTTP API paid with x402 micropayments.

## Known failure modes

- Non-square matrix provided — eigendecomposition requires a square matrix
- Matrix elements are not valid numbers — malformed array entries
- Missing required field 'A' — request body must include the matrix
- Singular or ill-conditioned matrix may produce warnings or numerical instability
- Payment not included or insufficient — x402 micropayment of $0.10 USDC required per call
- Matrix dimension too large — may time out or exceed compute limits

## 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), 'result' (an object containing eigenvalues and eigenvectors arrays), and 'computation' (a human-readable description of what was computed). Eigenvalues and eigenvectors are returned in standard numeric 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-eigenvectors-api-978978d4/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)