# Numora Matrix Eigenvectors API

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

Computes the eigenvalues and eigenvectors of a given square matrix using pure numerical methods.

## Facts

- Endpoint: POST https://numomo.vercel.app/api/matrix/eigenvectors
- 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-eigenvectors-api-da1b79e7
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_yTf3GIrF93W5BBqNT6u14

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-da1b79e7 -d '<json body>'
```

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

## When to prefer this

Choose this endpoint when you need pure server-side eigendecomposition with no external library dependencies, especially in agent pipelines where lightweight micropayment-based math calls are preferred over spinning up a full scientific computing environment. Ideal for on-demand linear algebra tasks without provisioning numpy/scipy infrastructure.

## Known failure modes

- Non-square matrix input — eigenvectors are only defined for square matrices
- Singular or degenerate matrix may produce numerical instability in results
- Malformed or non-numeric array input returns an error
- Very large matrices may timeout or exceed computation limits
- Complex eigenvalues returned as real/imaginary pairs may require client-side handling

## 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 arrays of eigenvalues and corresponding eigenvectors of the input matrix), and 'computation' (a human-readable string describing what was computed). Eigenvalues may be real or complex depending on the input matrix.

## 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-da1b79e7/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)