# Numora Matrix Eigenvalues API

> Numora Matrix Eigenvalues 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 of a given square matrix using pure server-side math with no external dependencies.

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/matrix/eigenvalues
- 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-eigenvalues-api-77312a3c
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_YZ-_eNCCbIcmnR1tk8yG3

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-eigenvalues-api-77312a3c -d '<json body>'
```

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

## When to prefer this

Choose this endpoint when you need fast, serverless eigenvalue computation without setting up a local math library, when operating in an agent context that uses x402 micropayments on Base, or when you want a pure math result with zero external service dependencies. Prefer over general-purpose compute services when the task is strictly eigenvalue extraction from a matrix.

## Known failure modes

- Non-square matrix input returns an error
- Malformed 2D array (jagged or non-numeric entries) causes validation failure
- Very large matrices may time out or exceed computational limits
- Missing required 'A' field returns 400-level error
- Singular or ill-conditioned matrices may return warnings about numerical stability

## 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 computed eigenvalues (and possibly eigenvectors), and a human-readable 'computation' string describing what was calculated.

## 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-eigenvalues-api-77312a3c/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)