# Numora QR Decomposition API

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

Computes the QR decomposition of a matrix, returning orthogonal (Q) and upper-triangular (R) factor matrices

## Facts

- Endpoint: POST https://numomo.vercel.app/api/matrix/qr
- 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-qr-decomposition-api-f8ef025c
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_UQY-tR7jEGI14gs2o2Tof

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-qr-decomposition-api-f8ef025c -d '<json body>'
```

Example prompt: Can you do a QR decomposition of this matrix: [[12, -51, 4], [6, 167, -68], [-4, 24, -41]]?

## When to prefer this

Choose this endpoint when you need a pure, dependency-free QR matrix factorization without setting up a local numerical library. Ideal for AI agents performing on-the-fly linear algebra as part of a larger workflow — e.g. solving least squares problems, orthogonalizing basis sets, or preprocessing matrices for eigenvalue computations — where spinning up Python/numpy is not viable. Priced per-call at $0.1 USDC via x402 micropayments on Base, suitable for occasional agent use rather than high-volume batch jobs.

## Known failure modes

- Non-rectangular or malformed 2D array returns an error
- Empty matrix input causes failure
- Non-numeric values in matrix entries cause computation error
- Singular or rank-deficient matrices may produce degenerate results
- Missing required field A returns a 400-level error

## 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 Q (orthogonal) and R (upper-triangular) factor matrices, and a human-readable computation description string explaining what was computed.

## 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-qr-decomposition-api-f8ef025c/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)