# Numora Matrix QR Decomposition API

> Numora Matrix QR Decomposition API is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-13).

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

## Facts

- Endpoint: POST https://numormo.vercel.app/api/matrix/qr
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-13
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-matrix-qr-decomposition-api-7a664a0d
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_Lj7lBV1b1NRgWBiKa4mv9

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-qr-decomposition-api-7a664a0d -d '<json body>'
```

Example prompt: Can you compute the QR decomposition of this matrix: [[1, 2], [3, 4], [5, 6]]? I need the Q (orthogonal) and R (upper triangular) factor matrices.

## When to prefer this

Choose this endpoint when you need a pure, dependency-free QR factorization with no setup overhead and micropayment-based access. Prefer it for lightweight agent workflows needing on-demand matrix decomposition without provisioning a full numerical computing environment.

## Known failure modes

- Non-numeric or malformed matrix elements cause a validation error
- Non-2D array input rejected
- Singular or rank-deficient matrix may produce degenerate Q/R factors
- Missing required field 'A' returns an error
- Very large matrices may time out or hit memory limits on the serverless host

## 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), 'computation' (human-readable description of what was computed), and 'result' containing the Q (orthogonal) and R (upper triangular) factor matrices as 2D arrays.

## 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-qr-decomposition-api-7a664a0d/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)