# Numora Matrix QR Decomposition

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

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

## Facts

- Endpoint: POST https://numormor.netlify.app/api/matrix/qr
- 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-qr-decomposition-c5c167ee
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_QIftUEg-ZvuJ4htsv9YF7

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-c5c167ee -d '<json body>'
```

Example prompt: Perform a QR decomposition on this matrix: [[12, -51, 4], [6, 167, -68], [-4, 24, -41]] — give me the orthogonal Q matrix and upper-triangular R matrix.

## When to prefer this

Choose this endpoint when you need a pure, dependency-free server-side QR matrix decomposition — especially useful for AI agents that cannot run local linear algebra libraries, need reproducible server-computed factorizations for least-squares fitting, or require QR as a preprocessing step for solving linear systems or computing eigenvalues.

## Known failure modes

- Non-numeric matrix elements cause a 400/422 validation error
- Non-rectangular or jagged array input returns an error
- Empty matrix or empty rows return an error
- Singular or ill-conditioned matrices may return degenerate Q/R factors
- Payment not provided or invalid x402 payment header returns 402

## 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' containing the Q (orthogonal) and R (upper-triangular) factor matrices as 2D arrays, and 'computation' as a human-readable description of the operation performed.

## 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-c5c167ee/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
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