# Numora Matrix QR Decomposition

> Numora Matrix QR Decomposition 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 QR decomposition of a matrix, factoring it into an orthogonal matrix Q and an upper triangular matrix R

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/matrix/qr
- 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-qr-decomposition-607cf145
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_H_2_oiJPcteDL70mfdtOe

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-607cf145 -d '<json body>'
```

Example prompt: Can you do a QR decomposition on this matrix: [[1, 2, 3], [4, 5, 6], [7, 8, 9]]? I need the orthogonal Q and upper triangular R factors.

## When to prefer this

Use this endpoint when you need a pure, dependency-free QR decomposition of a matrix and want a simple REST call with micropayment pricing. Ideal for AI agents that need matrix factorization as a step in solving least squares problems, computing eigenvalues, or performing orthogonalization without running local numerical libraries.

## Known failure modes

- Non-square or non-rectangular array submitted — returns error
- Matrix contains non-numeric values — parse or type error
- Empty matrix array — validation error
- Singular or degenerate matrix may produce numerically unstable results
- Missing required field 'A' in request body — 422 or 400 error
- Payment not included or insufficient — 402 Payment Required

## 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) matrices from the QR factorization, and a human-readable computation string describing 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-matrix-qr-decomposition-607cf145/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)